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Finding the Third Proportional to 804,290,220,690 and 1,199,460,620,187

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Solution

The third proportional to 804,290,220,690 and 1,199,460,620,187 is: 1,788,789,347,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,290,220,690 : 1,199,460,620,187 = 1,199,460,620,187 : x
  2. Step 2: Convert to fraction form
    804,290,220,690/1,199,460,620,187 = 1,199,460,620,187/x
  3. Step 3: Cross multiply
    804,290,220,690x = 1,199,460,620,187 × 1,199,460,620,187
  4. Step 4: Simplify right side
    804,290,220,690x = 1,438,705,779,379,382,628,909,056
  5. Step 5: Solve for x
    x = 1,438,705,779,379,382,628,909,056/804,290,220,690
  6. Step 6: Final answer
    x = 1,788,789,347,886.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.