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Finding the Third Proportional to 4,154,874 and 6,382,395

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Solution

The third proportional to 4,154,874 and 6,382,395 is: 9,804,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154,874 : 6,382,395 = 6,382,395 : x
  2. Step 2: Convert to fraction form
    4,154,874/6,382,395 = 6,382,395/x
  3. Step 3: Cross multiply
    4,154,874x = 6,382,395 × 6,382,395
  4. Step 4: Simplify right side
    4,154,874x = 40,734,965,936,025
  5. Step 5: Solve for x
    x = 40,734,965,936,025/4,154,874
  6. Step 6: Final answer
    x = 9,804,139.89

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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.