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Finding the Third Proportional to 1,614,344 and 3,508,624

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Solution

The third proportional to 1,614,344 and 3,508,624 is: 7,625,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,344 : 3,508,624 = 3,508,624 : x
  2. Step 2: Convert to fraction form
    1,614,344/3,508,624 = 3,508,624/x
  3. Step 3: Cross multiply
    1,614,344x = 3,508,624 × 3,508,624
  4. Step 4: Simplify right side
    1,614,344x = 12,310,442,373,376
  5. Step 5: Solve for x
    x = 12,310,442,373,376/1,614,344
  6. Step 6: Final answer
    x = 7,625,662.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.