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Finding the Third Proportional to 657,067 and 960,654

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Solution

The third proportional to 657,067 and 960,654 is: 1,404,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,067 : 960,654 = 960,654 : x
  2. Step 2: Convert to fraction form
    657,067/960,654 = 960,654/x
  3. Step 3: Cross multiply
    657,067x = 960,654 × 960,654
  4. Step 4: Simplify right side
    657,067x = 922,856,107,716
  5. Step 5: Solve for x
    x = 922,856,107,716/657,067
  6. Step 6: Final answer
    x = 1,404,508.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.