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Finding the Third Proportional to 679,136 and 1,414,081

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Solution

The third proportional to 679,136 and 1,414,081 is: 2,944,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,136 : 1,414,081 = 1,414,081 : x
  2. Step 2: Convert to fraction form
    679,136/1,414,081 = 1,414,081/x
  3. Step 3: Cross multiply
    679,136x = 1,414,081 × 1,414,081
  4. Step 4: Simplify right side
    679,136x = 1,999,625,074,561
  5. Step 5: Solve for x
    x = 1,999,625,074,561/679,136
  6. Step 6: Final answer
    x = 2,944,366.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.