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Finding the Third Proportional to 2,278,574 and 4,917,408

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Solution

The third proportional to 2,278,574 and 4,917,408 is: 10,612,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,574 : 4,917,408 = 4,917,408 : x
  2. Step 2: Convert to fraction form
    2,278,574/4,917,408 = 4,917,408/x
  3. Step 3: Cross multiply
    2,278,574x = 4,917,408 × 4,917,408
  4. Step 4: Simplify right side
    2,278,574x = 24,180,901,438,464
  5. Step 5: Solve for x
    x = 24,180,901,438,464/2,278,574
  6. Step 6: Final answer
    x = 10,612,295.87

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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.