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Finding the Third Proportional to 414,703 and 846,902

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Solution

The third proportional to 414,703 and 846,902 is: 1,729,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,703 : 846,902 = 846,902 : x
  2. Step 2: Convert to fraction form
    414,703/846,902 = 846,902/x
  3. Step 3: Cross multiply
    414,703x = 846,902 × 846,902
  4. Step 4: Simplify right side
    414,703x = 717,242,997,604
  5. Step 5: Solve for x
    x = 717,242,997,604/414,703
  6. Step 6: Final answer
    x = 1,729,534.14

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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.