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Finding the Third Proportional to 621,264 and 981,952

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Solution

The third proportional to 621,264 and 981,952 is: 1,552,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,264 : 981,952 = 981,952 : x
  2. Step 2: Convert to fraction form
    621,264/981,952 = 981,952/x
  3. Step 3: Cross multiply
    621,264x = 981,952 × 981,952
  4. Step 4: Simplify right side
    621,264x = 964,229,730,304
  5. Step 5: Solve for x
    x = 964,229,730,304/621,264
  6. Step 6: Final answer
    x = 1,552,045.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.