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Finding the Third Proportional to 2,182,137 and 4,741,983

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Solution

The third proportional to 2,182,137 and 4,741,983 is: 10,304,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,137 : 4,741,983 = 4,741,983 : x
  2. Step 2: Convert to fraction form
    2,182,137/4,741,983 = 4,741,983/x
  3. Step 3: Cross multiply
    2,182,137x = 4,741,983 × 4,741,983
  4. Step 4: Simplify right side
    2,182,137x = 22,486,402,772,289
  5. Step 5: Solve for x
    x = 22,486,402,772,289/2,182,137
  6. Step 6: Final answer
    x = 10,304,762.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.