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Finding the Third Proportional to 3,100,397 and 4,653,686

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Solution

The third proportional to 3,100,397 and 4,653,686 is: 6,985,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,397 : 4,653,686 = 4,653,686 : x
  2. Step 2: Convert to fraction form
    3,100,397/4,653,686 = 4,653,686/x
  3. Step 3: Cross multiply
    3,100,397x = 4,653,686 × 4,653,686
  4. Step 4: Simplify right side
    3,100,397x = 21,656,793,386,596
  5. Step 5: Solve for x
    x = 21,656,793,386,596/3,100,397
  6. Step 6: Final answer
    x = 6,985,167.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.