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Finding the Third Proportional to 4,138,476 and 6,384,846

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Solution

The third proportional to 4,138,476 and 6,384,846 is: 9,850,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,476 : 6,384,846 = 6,384,846 : x
  2. Step 2: Convert to fraction form
    4,138,476/6,384,846 = 6,384,846/x
  3. Step 3: Cross multiply
    4,138,476x = 6,384,846 × 6,384,846
  4. Step 4: Simplify right side
    4,138,476x = 40,766,258,443,716
  5. Step 5: Solve for x
    x = 40,766,258,443,716/4,138,476
  6. Step 6: Final answer
    x = 9,850,548.47

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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.