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Finding the Third Proportional to 535,347 and 1,188,792

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Solution

The third proportional to 535,347 and 1,188,792 is: 2,639,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,347 : 1,188,792 = 1,188,792 : x
  2. Step 2: Convert to fraction form
    535,347/1,188,792 = 1,188,792/x
  3. Step 3: Cross multiply
    535,347x = 1,188,792 × 1,188,792
  4. Step 4: Simplify right side
    535,347x = 1,413,226,419,264
  5. Step 5: Solve for x
    x = 1,413,226,419,264/535,347
  6. Step 6: Final answer
    x = 2,639,832.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.