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Finding the Third Proportional to 937,534 and 1,327,472

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Solution

The third proportional to 937,534 and 1,327,472 is: 1,879,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,534 : 1,327,472 = 1,327,472 : x
  2. Step 2: Convert to fraction form
    937,534/1,327,472 = 1,327,472/x
  3. Step 3: Cross multiply
    937,534x = 1,327,472 × 1,327,472
  4. Step 4: Simplify right side
    937,534x = 1,762,181,910,784
  5. Step 5: Solve for x
    x = 1,762,181,910,784/937,534
  6. Step 6: Final answer
    x = 1,879,592.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.