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Finding the Third Proportional to 1,832,344 and 3,989,983

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Solution

The third proportional to 1,832,344 and 3,989,983 is: 8,688,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,344 : 3,989,983 = 3,989,983 : x
  2. Step 2: Convert to fraction form
    1,832,344/3,989,983 = 3,989,983/x
  3. Step 3: Cross multiply
    1,832,344x = 3,989,983 × 3,989,983
  4. Step 4: Simplify right side
    1,832,344x = 15,919,964,340,289
  5. Step 5: Solve for x
    x = 15,919,964,340,289/1,832,344
  6. Step 6: Final answer
    x = 8,688,305.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.