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Finding the Third Proportional to 938,179.13 and 1,403,065.13

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Solution

The third proportional to 938,179.13 and 1,403,065.13 is: 2,098,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,179.13 : 1,403,065.13 = 1,403,065.13 : x
  2. Step 2: Convert to fraction form
    938,179.13/1,403,065.13 = 1,403,065.13/x
  3. Step 3: Cross multiply
    938,179.13x = 1,403,065.13 × 1,403,065.13
  4. Step 4: Simplify right side
    938,179.13x = 1,968,591,744,991.27
  5. Step 5: Solve for x
    x = 1,968,591,744,991.27/938,179.13
  6. Step 6: Final answer
    x = 2,098,311.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.