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Finding the Third Proportional to 641,234 and 1,000,671

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Solution

The third proportional to 641,234 and 1,000,671 is: 1,561,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,234 : 1,000,671 = 1,000,671 : x
  2. Step 2: Convert to fraction form
    641,234/1,000,671 = 1,000,671/x
  3. Step 3: Cross multiply
    641,234x = 1,000,671 × 1,000,671
  4. Step 4: Simplify right side
    641,234x = 1,001,342,450,241
  5. Step 5: Solve for x
    x = 1,001,342,450,241/641,234
  6. Step 6: Final answer
    x = 1,561,586.64

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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.