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Finding the Third Proportional to 641,226 and 1,000,657

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Solution

The third proportional to 641,226 and 1,000,657 is: 1,561,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,226 : 1,000,657 = 1,000,657 : x
  2. Step 2: Convert to fraction form
    641,226/1,000,657 = 1,000,657/x
  3. Step 3: Cross multiply
    641,226x = 1,000,657 × 1,000,657
  4. Step 4: Simplify right side
    641,226x = 1,001,314,431,649
  5. Step 5: Solve for x
    x = 1,001,314,431,649/641,226
  6. Step 6: Final answer
    x = 1,561,562.43

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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.