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Finding the Third Proportional to 4,037,698 and 6,206,223

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Solution

The third proportional to 4,037,698 and 6,206,223 is: 9,539,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,698 : 6,206,223 = 6,206,223 : x
  2. Step 2: Convert to fraction form
    4,037,698/6,206,223 = 6,206,223/x
  3. Step 3: Cross multiply
    4,037,698x = 6,206,223 × 6,206,223
  4. Step 4: Simplify right side
    4,037,698x = 38,517,203,925,729
  5. Step 5: Solve for x
    x = 38,517,203,925,729/4,037,698
  6. Step 6: Final answer
    x = 9,539,396.94

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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.