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Finding the Third Proportional to 591,862 and 902,535

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Solution

The third proportional to 591,862 and 902,535 is: 1,376,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,862 : 902,535 = 902,535 : x
  2. Step 2: Convert to fraction form
    591,862/902,535 = 902,535/x
  3. Step 3: Cross multiply
    591,862x = 902,535 × 902,535
  4. Step 4: Simplify right side
    591,862x = 814,569,426,225
  5. Step 5: Solve for x
    x = 814,569,426,225/591,862
  6. Step 6: Final answer
    x = 1,376,282.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.