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Finding the Third Proportional to 667,610 and 1,024,745

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Solution

The third proportional to 667,610 and 1,024,745 is: 1,572,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,610 : 1,024,745 = 1,024,745 : x
  2. Step 2: Convert to fraction form
    667,610/1,024,745 = 1,024,745/x
  3. Step 3: Cross multiply
    667,610x = 1,024,745 × 1,024,745
  4. Step 4: Simplify right side
    667,610x = 1,050,102,315,025
  5. Step 5: Solve for x
    x = 1,050,102,315,025/667,610
  6. Step 6: Final answer
    x = 1,572,927.78

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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.