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Finding the Third Proportional to 527,712 and 1,244,498

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Solution

The third proportional to 527,712 and 1,244,498 is: 2,934,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,712 : 1,244,498 = 1,244,498 : x
  2. Step 2: Convert to fraction form
    527,712/1,244,498 = 1,244,498/x
  3. Step 3: Cross multiply
    527,712x = 1,244,498 × 1,244,498
  4. Step 4: Simplify right side
    527,712x = 1,548,775,272,004
  5. Step 5: Solve for x
    x = 1,548,775,272,004/527,712
  6. Step 6: Final answer
    x = 2,934,887.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.