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Finding the Third Proportional to 1,229,816 and 2,701,757

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Solution

The third proportional to 1,229,816 and 2,701,757 is: 5,935,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,816 : 2,701,757 = 2,701,757 : x
  2. Step 2: Convert to fraction form
    1,229,816/2,701,757 = 2,701,757/x
  3. Step 3: Cross multiply
    1,229,816x = 2,701,757 × 2,701,757
  4. Step 4: Simplify right side
    1,229,816x = 7,299,490,887,049
  5. Step 5: Solve for x
    x = 7,299,490,887,049/1,229,816
  6. Step 6: Final answer
    x = 5,935,433.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.