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Finding the Third Proportional to 615,519 and 902,016

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Solution

The third proportional to 615,519 and 902,016 is: 1,321,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,519 : 902,016 = 902,016 : x
  2. Step 2: Convert to fraction form
    615,519/902,016 = 902,016/x
  3. Step 3: Cross multiply
    615,519x = 902,016 × 902,016
  4. Step 4: Simplify right side
    615,519x = 813,632,864,256
  5. Step 5: Solve for x
    x = 813,632,864,256/615,519
  6. Step 6: Final answer
    x = 1,321,864.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.