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Finding the Third Proportional to 2,729,974 and 4,282,157

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Solution

The third proportional to 2,729,974 and 4,282,157 is: 6,716,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,974 : 4,282,157 = 4,282,157 : x
  2. Step 2: Convert to fraction form
    2,729,974/4,282,157 = 4,282,157/x
  3. Step 3: Cross multiply
    2,729,974x = 4,282,157 × 4,282,157
  4. Step 4: Simplify right side
    2,729,974x = 18,336,868,572,649
  5. Step 5: Solve for x
    x = 18,336,868,572,649/2,729,974
  6. Step 6: Final answer
    x = 6,716,865.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.