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Finding the Third Proportional to 1,143,648 and 2,486,474.50

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Solution

The third proportional to 1,143,648 and 2,486,474.50 is: 5,405,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,648 : 2,486,474.50 = 2,486,474.50 : x
  2. Step 2: Convert to fraction form
    1,143,648/2,486,474.50 = 2,486,474.50/x
  3. Step 3: Cross multiply
    1,143,648x = 2,486,474.50 × 2,486,474.50
  4. Step 4: Simplify right side
    1,143,648x = 6,182,555,439,150.25
  5. Step 5: Solve for x
    x = 6,182,555,439,150.25/1,143,648
  6. Step 6: Final answer
    x = 5,405,995.06

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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.