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Finding the Third Proportional to 2,376,544 and 4,948,928

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Solution

The third proportional to 2,376,544 and 4,948,928 is: 10,305,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,544 : 4,948,928 = 4,948,928 : x
  2. Step 2: Convert to fraction form
    2,376,544/4,948,928 = 4,948,928/x
  3. Step 3: Cross multiply
    2,376,544x = 4,948,928 × 4,948,928
  4. Step 4: Simplify right side
    2,376,544x = 24,491,888,349,184
  5. Step 5: Solve for x
    x = 24,491,888,349,184/2,376,544
  6. Step 6: Final answer
    x = 10,305,674.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.