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Finding the Third Proportional to 4,100,774 and 6,311,908

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Solution

The third proportional to 4,100,774 and 6,311,908 is: 9,715,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,774 : 6,311,908 = 6,311,908 : x
  2. Step 2: Convert to fraction form
    4,100,774/6,311,908 = 6,311,908/x
  3. Step 3: Cross multiply
    4,100,774x = 6,311,908 × 6,311,908
  4. Step 4: Simplify right side
    4,100,774x = 39,840,182,600,464
  5. Step 5: Solve for x
    x = 39,840,182,600,464/4,100,774
  6. Step 6: Final answer
    x = 9,715,283.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.