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Finding the Third Proportional to 641,199 and 1,000,617

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Solution

The third proportional to 641,199 and 1,000,617 is: 1,561,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,199 : 1,000,617 = 1,000,617 : x
  2. Step 2: Convert to fraction form
    641,199/1,000,617 = 1,000,617/x
  3. Step 3: Cross multiply
    641,199x = 1,000,617 × 1,000,617
  4. Step 4: Simplify right side
    641,199x = 1,001,234,380,689
  5. Step 5: Solve for x
    x = 1,001,234,380,689/641,199
  6. Step 6: Final answer
    x = 1,561,503.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.