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Finding the Third Proportional to 2,206,470 and 4,761,444

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Solution

The third proportional to 2,206,470 and 4,761,444 is: 10,274,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,470 : 4,761,444 = 4,761,444 : x
  2. Step 2: Convert to fraction form
    2,206,470/4,761,444 = 4,761,444/x
  3. Step 3: Cross multiply
    2,206,470x = 4,761,444 × 4,761,444
  4. Step 4: Simplify right side
    2,206,470x = 22,671,348,965,136
  5. Step 5: Solve for x
    x = 22,671,348,965,136/2,206,470
  6. Step 6: Final answer
    x = 10,274,940.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.