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Finding the Third Proportional to 1,009,972 and 2,177,384

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Solution

The third proportional to 1,009,972 and 2,177,384 is: 4,694,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,972 : 2,177,384 = 2,177,384 : x
  2. Step 2: Convert to fraction form
    1,009,972/2,177,384 = 2,177,384/x
  3. Step 3: Cross multiply
    1,009,972x = 2,177,384 × 2,177,384
  4. Step 4: Simplify right side
    1,009,972x = 4,741,001,083,456
  5. Step 5: Solve for x
    x = 4,741,001,083,456/1,009,972
  6. Step 6: Final answer
    x = 4,694,190.61

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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.