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Finding the Third Proportional to 1,440,400 and 3,146,561

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Solution

The third proportional to 1,440,400 and 3,146,561 is: 6,873,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,400 : 3,146,561 = 3,146,561 : x
  2. Step 2: Convert to fraction form
    1,440,400/3,146,561 = 3,146,561/x
  3. Step 3: Cross multiply
    1,440,400x = 3,146,561 × 3,146,561
  4. Step 4: Simplify right side
    1,440,400x = 9,900,846,126,721
  5. Step 5: Solve for x
    x = 9,900,846,126,721/1,440,400
  6. Step 6: Final answer
    x = 6,873,678.23

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