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Finding the Third Proportional to 649,116 and 1,412,518

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Solution

The third proportional to 649,116 and 1,412,518 is: 3,073,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,116 : 1,412,518 = 1,412,518 : x
  2. Step 2: Convert to fraction form
    649,116/1,412,518 = 1,412,518/x
  3. Step 3: Cross multiply
    649,116x = 1,412,518 × 1,412,518
  4. Step 4: Simplify right side
    649,116x = 1,995,207,100,324
  5. Step 5: Solve for x
    x = 1,995,207,100,324/649,116
  6. Step 6: Final answer
    x = 3,073,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.