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Finding the Third Proportional to 414,801 and 886,464

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Solution

The third proportional to 414,801 and 886,464 is: 1,894,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,801 : 886,464 = 886,464 : x
  2. Step 2: Convert to fraction form
    414,801/886,464 = 886,464/x
  3. Step 3: Cross multiply
    414,801x = 886,464 × 886,464
  4. Step 4: Simplify right side
    414,801x = 785,818,423,296
  5. Step 5: Solve for x
    x = 785,818,423,296/414,801
  6. Step 6: Final answer
    x = 1,894,446.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.