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Finding the Third Proportional to 615,120 and 827,540

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Solution

The third proportional to 615,120 and 827,540 is: 1,113,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,120 : 827,540 = 827,540 : x
  2. Step 2: Convert to fraction form
    615,120/827,540 = 827,540/x
  3. Step 3: Cross multiply
    615,120x = 827,540 × 827,540
  4. Step 4: Simplify right side
    615,120x = 684,822,451,600
  5. Step 5: Solve for x
    x = 684,822,451,600/615,120
  6. Step 6: Final answer
    x = 1,113,315.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.