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Finding the Third Proportional to 635,483 and 981,413

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Solution

The third proportional to 635,483 and 981,413 is: 1,515,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,483 : 981,413 = 981,413 : x
  2. Step 2: Convert to fraction form
    635,483/981,413 = 981,413/x
  3. Step 3: Cross multiply
    635,483x = 981,413 × 981,413
  4. Step 4: Simplify right side
    635,483x = 963,171,476,569
  5. Step 5: Solve for x
    x = 963,171,476,569/635,483
  6. Step 6: Final answer
    x = 1,515,652.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.