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Finding the Third Proportional to 715,670.12 and 1,543,432.54

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Solution

The third proportional to 715,670.12 and 1,543,432.54 is: 3,328,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,670.12 : 1,543,432.54 = 1,543,432.54 : x
  2. Step 2: Convert to fraction form
    715,670.12/1,543,432.54 = 1,543,432.54/x
  3. Step 3: Cross multiply
    715,670.12x = 1,543,432.54 × 1,543,432.54
  4. Step 4: Simplify right side
    715,670.12x = 2,382,183,990,578.69
  5. Step 5: Solve for x
    x = 2,382,183,990,578.69/715,670.12
  6. Step 6: Final answer
    x = 3,328,606.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.