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Finding the Third Proportional to 1,724,337 and 4,064,743

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Solution

The third proportional to 1,724,337 and 4,064,743 is: 9,581,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,337 : 4,064,743 = 4,064,743 : x
  2. Step 2: Convert to fraction form
    1,724,337/4,064,743 = 4,064,743/x
  3. Step 3: Cross multiply
    1,724,337x = 4,064,743 × 4,064,743
  4. Step 4: Simplify right side
    1,724,337x = 16,522,135,656,049
  5. Step 5: Solve for x
    x = 16,522,135,656,049/1,724,337
  6. Step 6: Final answer
    x = 9,581,732.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.