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Finding the Third Proportional to 2,660,822 and 5,836,716

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Solution

The third proportional to 2,660,822 and 5,836,716 is: 12,803,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,822 : 5,836,716 = 5,836,716 : x
  2. Step 2: Convert to fraction form
    2,660,822/5,836,716 = 5,836,716/x
  3. Step 3: Cross multiply
    2,660,822x = 5,836,716 × 5,836,716
  4. Step 4: Simplify right side
    2,660,822x = 34,067,253,664,656
  5. Step 5: Solve for x
    x = 34,067,253,664,656/2,660,822
  6. Step 6: Final answer
    x = 12,803,281.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.