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Finding the Third Proportional to 499,320 and 1,068,624

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Solution

The third proportional to 499,320 and 1,068,624 is: 2,287,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,320 : 1,068,624 = 1,068,624 : x
  2. Step 2: Convert to fraction form
    499,320/1,068,624 = 1,068,624/x
  3. Step 3: Cross multiply
    499,320x = 1,068,624 × 1,068,624
  4. Step 4: Simplify right side
    499,320x = 1,141,957,253,376
  5. Step 5: Solve for x
    x = 1,141,957,253,376/499,320
  6. Step 6: Final answer
    x = 2,287,024.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.