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Finding the Third Proportional to 667,594 and 1,024,720

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Solution

The third proportional to 667,594 and 1,024,720 is: 1,572,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,594 : 1,024,720 = 1,024,720 : x
  2. Step 2: Convert to fraction form
    667,594/1,024,720 = 1,024,720/x
  3. Step 3: Cross multiply
    667,594x = 1,024,720 × 1,024,720
  4. Step 4: Simplify right side
    667,594x = 1,050,051,078,400
  5. Step 5: Solve for x
    x = 1,050,051,078,400/667,594
  6. Step 6: Final answer
    x = 1,572,888.73

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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.