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Finding the Third Proportional to 641,416 and 1,385,612

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Solution

The third proportional to 641,416 and 1,385,612 is: 2,993,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,416 : 1,385,612 = 1,385,612 : x
  2. Step 2: Convert to fraction form
    641,416/1,385,612 = 1,385,612/x
  3. Step 3: Cross multiply
    641,416x = 1,385,612 × 1,385,612
  4. Step 4: Simplify right side
    641,416x = 1,919,920,614,544
  5. Step 5: Solve for x
    x = 1,919,920,614,544/641,416
  6. Step 6: Final answer
    x = 2,993,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.