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Finding the Third Proportional to 414,762 and 847,017

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Solution

The third proportional to 414,762 and 847,017 is: 1,729,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,762 : 847,017 = 847,017 : x
  2. Step 2: Convert to fraction form
    414,762/847,017 = 847,017/x
  3. Step 3: Cross multiply
    414,762x = 847,017 × 847,017
  4. Step 4: Simplify right side
    414,762x = 717,437,798,289
  5. Step 5: Solve for x
    x = 717,437,798,289/414,762
  6. Step 6: Final answer
    x = 1,729,757.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.