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Finding the Third Proportional to 414,540 and 895,248

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Solution

The third proportional to 414,540 and 895,248 is: 1,933,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,540 : 895,248 = 895,248 : x
  2. Step 2: Convert to fraction form
    414,540/895,248 = 895,248/x
  3. Step 3: Cross multiply
    414,540x = 895,248 × 895,248
  4. Step 4: Simplify right side
    414,540x = 801,468,981,504
  5. Step 5: Solve for x
    x = 801,468,981,504/414,540
  6. Step 6: Final answer
    x = 1,933,393.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.