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Finding the Third Proportional to 1,251,121 and 2,731,604

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Solution

The third proportional to 1,251,121 and 2,731,604 is: 5,963,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,121 : 2,731,604 = 2,731,604 : x
  2. Step 2: Convert to fraction form
    1,251,121/2,731,604 = 2,731,604/x
  3. Step 3: Cross multiply
    1,251,121x = 2,731,604 × 2,731,604
  4. Step 4: Simplify right side
    1,251,121x = 7,461,660,412,816
  5. Step 5: Solve for x
    x = 7,461,660,412,816/1,251,121
  6. Step 6: Final answer
    x = 5,963,979.83

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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.