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Finding the Third Proportional to 414,120 and 887,298

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Solution

The third proportional to 414,120 and 887,298 is: 1,901,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,120 : 887,298 = 887,298 : x
  2. Step 2: Convert to fraction form
    414,120/887,298 = 887,298/x
  3. Step 3: Cross multiply
    414,120x = 887,298 × 887,298
  4. Step 4: Simplify right side
    414,120x = 787,297,740,804
  5. Step 5: Solve for x
    x = 787,297,740,804/414,120
  6. Step 6: Final answer
    x = 1,901,134.31

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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.