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Finding the Third Proportional to 414,944 and 886,720

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Solution

The third proportional to 414,944 and 886,720 is: 1,894,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,944 : 886,720 = 886,720 : x
  2. Step 2: Convert to fraction form
    414,944/886,720 = 886,720/x
  3. Step 3: Cross multiply
    414,944x = 886,720 × 886,720
  4. Step 4: Simplify right side
    414,944x = 786,272,358,400
  5. Step 5: Solve for x
    x = 786,272,358,400/414,944
  6. Step 6: Final answer
    x = 1,894,887.88

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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.