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Finding the Third Proportional to 541,019 and 844,282

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Solution

The third proportional to 541,019 and 844,282 is: 1,317,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,019 : 844,282 = 844,282 : x
  2. Step 2: Convert to fraction form
    541,019/844,282 = 844,282/x
  3. Step 3: Cross multiply
    541,019x = 844,282 × 844,282
  4. Step 4: Simplify right side
    541,019x = 712,812,095,524
  5. Step 5: Solve for x
    x = 712,812,095,524/541,019
  6. Step 6: Final answer
    x = 1,317,536.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.