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Finding the Third Proportional to 1,287,972 and 2,797,182

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Solution

The third proportional to 1,287,972 and 2,797,182 is: 6,074,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,972 : 2,797,182 = 2,797,182 : x
  2. Step 2: Convert to fraction form
    1,287,972/2,797,182 = 2,797,182/x
  3. Step 3: Cross multiply
    1,287,972x = 2,797,182 × 2,797,182
  4. Step 4: Simplify right side
    1,287,972x = 7,824,227,141,124
  5. Step 5: Solve for x
    x = 7,824,227,141,124/1,287,972
  6. Step 6: Final answer
    x = 6,074,842.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.