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Finding the Third Proportional to 438,488 and 960,766

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Solution

The third proportional to 438,488 and 960,766 is: 2,105,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,488 : 960,766 = 960,766 : x
  2. Step 2: Convert to fraction form
    438,488/960,766 = 960,766/x
  3. Step 3: Cross multiply
    438,488x = 960,766 × 960,766
  4. Step 4: Simplify right side
    438,488x = 923,071,306,756
  5. Step 5: Solve for x
    x = 923,071,306,756/438,488
  6. Step 6: Final answer
    x = 2,105,123.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.