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Finding the Third Proportional to 680,424 and 1,479,072

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Solution

The third proportional to 680,424 and 1,479,072 is: 3,215,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,424 : 1,479,072 = 1,479,072 : x
  2. Step 2: Convert to fraction form
    680,424/1,479,072 = 1,479,072/x
  3. Step 3: Cross multiply
    680,424x = 1,479,072 × 1,479,072
  4. Step 4: Simplify right side
    680,424x = 2,187,653,981,184
  5. Step 5: Solve for x
    x = 2,187,653,981,184/680,424
  6. Step 6: Final answer
    x = 3,215,133.48

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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.