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Finding the Third Proportional to 4,037,638 and 6,206,141

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Solution

The third proportional to 4,037,638 and 6,206,141 is: 9,539,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,638 : 6,206,141 = 6,206,141 : x
  2. Step 2: Convert to fraction form
    4,037,638/6,206,141 = 6,206,141/x
  3. Step 3: Cross multiply
    4,037,638x = 6,206,141 × 6,206,141
  4. Step 4: Simplify right side
    4,037,638x = 38,516,186,111,881
  5. Step 5: Solve for x
    x = 38,516,186,111,881/4,037,638
  6. Step 6: Final answer
    x = 9,539,286.61

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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.