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Finding the Third Proportional to 1,942,566 and 4,121,832

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Solution

The third proportional to 1,942,566 and 4,121,832 is: 8,745,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,566 : 4,121,832 = 4,121,832 : x
  2. Step 2: Convert to fraction form
    1,942,566/4,121,832 = 4,121,832/x
  3. Step 3: Cross multiply
    1,942,566x = 4,121,832 × 4,121,832
  4. Step 4: Simplify right side
    1,942,566x = 16,989,499,036,224
  5. Step 5: Solve for x
    x = 16,989,499,036,224/1,942,566
  6. Step 6: Final answer
    x = 8,745,905.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.