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Finding the Third Proportional to 779,526 and 1,666,779.75

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Solution

The third proportional to 779,526 and 1,666,779.75 is: 3,563,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,526 : 1,666,779.75 = 1,666,779.75 : x
  2. Step 2: Convert to fraction form
    779,526/1,666,779.75 = 1,666,779.75/x
  3. Step 3: Cross multiply
    779,526x = 1,666,779.75 × 1,666,779.75
  4. Step 4: Simplify right side
    779,526x = 2,778,154,735,010.06
  5. Step 5: Solve for x
    x = 2,778,154,735,010.06/779,526
  6. Step 6: Final answer
    x = 3,563,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.