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Finding the Third Proportional to 709,766.93 and 1,539,331.91

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Solution

The third proportional to 709,766.93 and 1,539,331.91 is: 3,338,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,766.93 : 1,539,331.91 = 1,539,331.91 : x
  2. Step 2: Convert to fraction form
    709,766.93/1,539,331.91 = 1,539,331.91/x
  3. Step 3: Cross multiply
    709,766.93x = 1,539,331.91 × 1,539,331.91
  4. Step 4: Simplify right side
    709,766.93x = 2,369,542,729,625.14
  5. Step 5: Solve for x
    x = 2,369,542,729,625.14/709,766.93
  6. Step 6: Final answer
    x = 3,338,480.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.