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Finding the Third Proportional to 723,660.96 and 1,540,918.69

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Solution

The third proportional to 723,660.96 and 1,540,918.69 is: 3,281,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,660.96 : 1,540,918.69 = 1,540,918.69 : x
  2. Step 2: Convert to fraction form
    723,660.96/1,540,918.69 = 1,540,918.69/x
  3. Step 3: Cross multiply
    723,660.96x = 1,540,918.69 × 1,540,918.69
  4. Step 4: Simplify right side
    723,660.96x = 2,374,430,401,486.72
  5. Step 5: Solve for x
    x = 2,374,430,401,486.72/723,660.96
  6. Step 6: Final answer
    x = 3,281,136.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.