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Finding the Third Proportional to 897,206.06 and 1,968,790.50

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Solution

The third proportional to 897,206.06 and 1,968,790.50 is: 4,320,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,206.06 : 1,968,790.50 = 1,968,790.50 : x
  2. Step 2: Convert to fraction form
    897,206.06/1,968,790.50 = 1,968,790.50/x
  3. Step 3: Cross multiply
    897,206.06x = 1,968,790.50 × 1,968,790.50
  4. Step 4: Simplify right side
    897,206.06x = 3,876,136,032,890.25
  5. Step 5: Solve for x
    x = 3,876,136,032,890.25/897,206.06
  6. Step 6: Final answer
    x = 4,320,229.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.