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Finding the Third Proportional to 444,560 and 970,766

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Solution

The third proportional to 444,560 and 970,766 is: 2,119,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,560 : 970,766 = 970,766 : x
  2. Step 2: Convert to fraction form
    444,560/970,766 = 970,766/x
  3. Step 3: Cross multiply
    444,560x = 970,766 × 970,766
  4. Step 4: Simplify right side
    444,560x = 942,386,626,756
  5. Step 5: Solve for x
    x = 942,386,626,756/444,560
  6. Step 6: Final answer
    x = 2,119,818.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.