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Finding the Third Proportional to 2,278,562 and 4,917,388

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Solution

The third proportional to 2,278,562 and 4,917,388 is: 10,612,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,562 : 4,917,388 = 4,917,388 : x
  2. Step 2: Convert to fraction form
    2,278,562/4,917,388 = 4,917,388/x
  3. Step 3: Cross multiply
    2,278,562x = 4,917,388 × 4,917,388
  4. Step 4: Simplify right side
    2,278,562x = 24,180,704,742,544
  5. Step 5: Solve for x
    x = 24,180,704,742,544/2,278,562
  6. Step 6: Final answer
    x = 10,612,265.43

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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.