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Finding the Third Proportional to 746,372.25 and 1,124,934.75

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Solution

The third proportional to 746,372.25 and 1,124,934.75 is: 1,695,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,372.25 : 1,124,934.75 = 1,124,934.75 : x
  2. Step 2: Convert to fraction form
    746,372.25/1,124,934.75 = 1,124,934.75/x
  3. Step 3: Cross multiply
    746,372.25x = 1,124,934.75 × 1,124,934.75
  4. Step 4: Simplify right side
    746,372.25x = 1,265,478,191,757.56
  5. Step 5: Solve for x
    x = 1,265,478,191,757.56/746,372.25
  6. Step 6: Final answer
    x = 1,695,505.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.