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Finding the Third Proportional to 1,753,724 and 3,768,523

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Solution

The third proportional to 1,753,724 and 3,768,523 is: 8,098,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,724 : 3,768,523 = 3,768,523 : x
  2. Step 2: Convert to fraction form
    1,753,724/3,768,523 = 3,768,523/x
  3. Step 3: Cross multiply
    1,753,724x = 3,768,523 × 3,768,523
  4. Step 4: Simplify right side
    1,753,724x = 14,201,765,601,529
  5. Step 5: Solve for x
    x = 14,201,765,601,529/1,753,724
  6. Step 6: Final answer
    x = 8,098,061.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.