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Finding the Third Proportional to 654,966.75 and 1,041,499.13

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Solution

The third proportional to 654,966.75 and 1,041,499.13 is: 1,656,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,966.75 : 1,041,499.13 = 1,041,499.13 : x
  2. Step 2: Convert to fraction form
    654,966.75/1,041,499.13 = 1,041,499.13/x
  3. Step 3: Cross multiply
    654,966.75x = 1,041,499.13 × 1,041,499.13
  4. Step 4: Simplify right side
    654,966.75x = 1,084,720,427,375.77
  5. Step 5: Solve for x
    x = 1,084,720,427,375.77/654,966.75
  6. Step 6: Final answer
    x = 1,656,145.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.