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Finding the Third Proportional to 667,614 and 1,024,751

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Solution

The third proportional to 667,614 and 1,024,751 is: 1,572,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,614 : 1,024,751 = 1,024,751 : x
  2. Step 2: Convert to fraction form
    667,614/1,024,751 = 1,024,751/x
  3. Step 3: Cross multiply
    667,614x = 1,024,751 × 1,024,751
  4. Step 4: Simplify right side
    667,614x = 1,050,114,612,001
  5. Step 5: Solve for x
    x = 1,050,114,612,001/667,614
  6. Step 6: Final answer
    x = 1,572,936.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.