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Finding the Third Proportional to 418,452 and 915,150

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Solution

The third proportional to 418,452 and 915,150 is: 2,001,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,452 : 915,150 = 915,150 : x
  2. Step 2: Convert to fraction form
    418,452/915,150 = 915,150/x
  3. Step 3: Cross multiply
    418,452x = 915,150 × 915,150
  4. Step 4: Simplify right side
    418,452x = 837,499,522,500
  5. Step 5: Solve for x
    x = 837,499,522,500/418,452
  6. Step 6: Final answer
    x = 2,001,423.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.