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Finding the Third Proportional to 715,038 and 1,479,568

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Solution

The third proportional to 715,038 and 1,479,568 is: 3,061,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,038 : 1,479,568 = 1,479,568 : x
  2. Step 2: Convert to fraction form
    715,038/1,479,568 = 1,479,568/x
  3. Step 3: Cross multiply
    715,038x = 1,479,568 × 1,479,568
  4. Step 4: Simplify right side
    715,038x = 2,189,121,466,624
  5. Step 5: Solve for x
    x = 2,189,121,466,624/715,038
  6. Step 6: Final answer
    x = 3,061,545.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.