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Finding the Third Proportional to 4,215,923 and 6,312,327

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Solution

The third proportional to 4,215,923 and 6,312,327 is: 9,451,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,923 : 6,312,327 = 6,312,327 : x
  2. Step 2: Convert to fraction form
    4,215,923/6,312,327 = 6,312,327/x
  3. Step 3: Cross multiply
    4,215,923x = 6,312,327 × 6,312,327
  4. Step 4: Simplify right side
    4,215,923x = 39,845,472,154,929
  5. Step 5: Solve for x
    x = 39,845,472,154,929/4,215,923
  6. Step 6: Final answer
    x = 9,451,185.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.