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Finding the Third Proportional to 414,453 and 887,712

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Solution

The third proportional to 414,453 and 887,712 is: 1,901,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,453 : 887,712 = 887,712 : x
  2. Step 2: Convert to fraction form
    414,453/887,712 = 887,712/x
  3. Step 3: Cross multiply
    414,453x = 887,712 × 887,712
  4. Step 4: Simplify right side
    414,453x = 788,032,594,944
  5. Step 5: Solve for x
    x = 788,032,594,944/414,453
  6. Step 6: Final answer
    x = 1,901,379.88

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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.