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Finding the Third Proportional to 414,476 and 887,756

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Solution

The third proportional to 414,476 and 887,756 is: 1,901,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,476 : 887,756 = 887,756 : x
  2. Step 2: Convert to fraction form
    414,476/887,756 = 887,756/x
  3. Step 3: Cross multiply
    414,476x = 887,756 × 887,756
  4. Step 4: Simplify right side
    414,476x = 788,110,715,536
  5. Step 5: Solve for x
    x = 788,110,715,536/414,476
  6. Step 6: Final answer
    x = 1,901,462.85

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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.