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Finding the Third Proportional to 532,032 and 1,148,472

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Solution

The third proportional to 532,032 and 1,148,472 is: 2,479,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,032 : 1,148,472 = 1,148,472 : x
  2. Step 2: Convert to fraction form
    532,032/1,148,472 = 1,148,472/x
  3. Step 3: Cross multiply
    532,032x = 1,148,472 × 1,148,472
  4. Step 4: Simplify right side
    532,032x = 1,318,987,934,784
  5. Step 5: Solve for x
    x = 1,318,987,934,784/532,032
  6. Step 6: Final answer
    x = 2,479,151.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.