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Finding the Third Proportional to 416,260 and 981,514

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Solution

The third proportional to 416,260 and 981,514 is: 2,314,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,260 : 981,514 = 981,514 : x
  2. Step 2: Convert to fraction form
    416,260/981,514 = 981,514/x
  3. Step 3: Cross multiply
    416,260x = 981,514 × 981,514
  4. Step 4: Simplify right side
    416,260x = 963,369,732,196
  5. Step 5: Solve for x
    x = 963,369,732,196/416,260
  6. Step 6: Final answer
    x = 2,314,346.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.