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Finding the Third Proportional to 582,126 and 869,598

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Solution

The third proportional to 582,126 and 869,598 is: 1,299,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,126 : 869,598 = 869,598 : x
  2. Step 2: Convert to fraction form
    582,126/869,598 = 869,598/x
  3. Step 3: Cross multiply
    582,126x = 869,598 × 869,598
  4. Step 4: Simplify right side
    582,126x = 756,200,681,604
  5. Step 5: Solve for x
    x = 756,200,681,604/582,126
  6. Step 6: Final answer
    x = 1,299,032.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.