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Finding the Third Proportional to 445,692 and 960,687

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Solution

The third proportional to 445,692 and 960,687 is: 2,070,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,692 : 960,687 = 960,687 : x
  2. Step 2: Convert to fraction form
    445,692/960,687 = 960,687/x
  3. Step 3: Cross multiply
    445,692x = 960,687 × 960,687
  4. Step 4: Simplify right side
    445,692x = 922,919,511,969
  5. Step 5: Solve for x
    x = 922,919,511,969/445,692
  6. Step 6: Final answer
    x = 2,070,756.29

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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.