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Finding the Third Proportional to 1,466,494.50 and 2,147,241

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Solution

The third proportional to 1,466,494.50 and 2,147,241 is: 3,143,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,494.50 : 2,147,241 = 2,147,241 : x
  2. Step 2: Convert to fraction form
    1,466,494.50/2,147,241 = 2,147,241/x
  3. Step 3: Cross multiply
    1,466,494.50x = 2,147,241 × 2,147,241
  4. Step 4: Simplify right side
    1,466,494.50x = 4,610,643,912,081
  5. Step 5: Solve for x
    x = 4,610,643,912,081/1,466,494.50
  6. Step 6: Final answer
    x = 3,143,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.