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Finding the Third Proportional to 449,470 and 970,922

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Solution

The third proportional to 449,470 and 970,922 is: 2,097,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,470 : 970,922 = 970,922 : x
  2. Step 2: Convert to fraction form
    449,470/970,922 = 970,922/x
  3. Step 3: Cross multiply
    449,470x = 970,922 × 970,922
  4. Step 4: Simplify right side
    449,470x = 942,689,530,084
  5. Step 5: Solve for x
    x = 942,689,530,084/449,470
  6. Step 6: Final answer
    x = 2,097,335.82

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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.