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Finding the Third Proportional to 591,456 and 926,598

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Solution

The third proportional to 591,456 and 926,598 is: 1,451,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,456 : 926,598 = 926,598 : x
  2. Step 2: Convert to fraction form
    591,456/926,598 = 926,598/x
  3. Step 3: Cross multiply
    591,456x = 926,598 × 926,598
  4. Step 4: Simplify right side
    591,456x = 858,583,853,604
  5. Step 5: Solve for x
    x = 858,583,853,604/591,456
  6. Step 6: Final answer
    x = 1,451,644.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.