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Finding the Third Proportional to 415,874 and 881,356

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Solution

The third proportional to 415,874 and 881,356 is: 1,867,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,874 : 881,356 = 881,356 : x
  2. Step 2: Convert to fraction form
    415,874/881,356 = 881,356/x
  3. Step 3: Cross multiply
    415,874x = 881,356 × 881,356
  4. Step 4: Simplify right side
    415,874x = 776,788,398,736
  5. Step 5: Solve for x
    x = 776,788,398,736/415,874
  6. Step 6: Final answer
    x = 1,867,845.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.