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Finding the Third Proportional to 641,197 and 1,000,614

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Solution

The third proportional to 641,197 and 1,000,614 is: 1,561,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,197 : 1,000,614 = 1,000,614 : x
  2. Step 2: Convert to fraction form
    641,197/1,000,614 = 1,000,614/x
  3. Step 3: Cross multiply
    641,197x = 1,000,614 × 1,000,614
  4. Step 4: Simplify right side
    641,197x = 1,001,228,376,996
  5. Step 5: Solve for x
    x = 1,001,228,376,996/641,197
  6. Step 6: Final answer
    x = 1,561,498.85

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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.