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Finding the Third Proportional to 1,878,486.19 and 4,022,601.75

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Solution

The third proportional to 1,878,486.19 and 4,022,601.75 is: 8,614,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,486.19 : 4,022,601.75 = 4,022,601.75 : x
  2. Step 2: Convert to fraction form
    1,878,486.19/4,022,601.75 = 4,022,601.75/x
  3. Step 3: Cross multiply
    1,878,486.19x = 4,022,601.75 × 4,022,601.75
  4. Step 4: Simplify right side
    1,878,486.19x = 16,181,324,839,103.06
  5. Step 5: Solve for x
    x = 16,181,324,839,103.06/1,878,486.19
  6. Step 6: Final answer
    x = 8,614,023.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.