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Finding the Third Proportional to 523,448 and 1,129,792

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Solution

The third proportional to 523,448 and 1,129,792 is: 2,438,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,448 : 1,129,792 = 1,129,792 : x
  2. Step 2: Convert to fraction form
    523,448/1,129,792 = 1,129,792/x
  3. Step 3: Cross multiply
    523,448x = 1,129,792 × 1,129,792
  4. Step 4: Simplify right side
    523,448x = 1,276,429,963,264
  5. Step 5: Solve for x
    x = 1,276,429,963,264/523,448
  6. Step 6: Final answer
    x = 2,438,503.85

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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.