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Finding the Third Proportional to 754,542.75 and 1,177,740.75

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Solution

The third proportional to 754,542.75 and 1,177,740.75 is: 1,838,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,542.75 : 1,177,740.75 = 1,177,740.75 : x
  2. Step 2: Convert to fraction form
    754,542.75/1,177,740.75 = 1,177,740.75/x
  3. Step 3: Cross multiply
    754,542.75x = 1,177,740.75 × 1,177,740.75
  4. Step 4: Simplify right side
    754,542.75x = 1,387,073,274,210.56
  5. Step 5: Solve for x
    x = 1,387,073,274,210.56/754,542.75
  6. Step 6: Final answer
    x = 1,838,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.