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Finding the Third Proportional to 414,145 and 887,314

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Solution

The third proportional to 414,145 and 887,314 is: 1,901,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145 : 887,314 = 887,314 : x
  2. Step 2: Convert to fraction form
    414,145/887,314 = 887,314/x
  3. Step 3: Cross multiply
    414,145x = 887,314 × 887,314
  4. Step 4: Simplify right side
    414,145x = 787,326,134,596
  5. Step 5: Solve for x
    x = 787,326,134,596/414,145
  6. Step 6: Final answer
    x = 1,901,088.11

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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.