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Finding the Third Proportional to 1,578,082 and 3,451,394

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Solution

The third proportional to 1,578,082 and 3,451,394 is: 7,548,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,082 : 3,451,394 = 3,451,394 : x
  2. Step 2: Convert to fraction form
    1,578,082/3,451,394 = 3,451,394/x
  3. Step 3: Cross multiply
    1,578,082x = 3,451,394 × 3,451,394
  4. Step 4: Simplify right side
    1,578,082x = 11,912,120,543,236
  5. Step 5: Solve for x
    x = 11,912,120,543,236/1,578,082
  6. Step 6: Final answer
    x = 7,548,480.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.