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Finding the Third Proportional to 3,289,578 and 4,934,351

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Solution

The third proportional to 3,289,578 and 4,934,351 is: 7,401,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,578 : 4,934,351 = 4,934,351 : x
  2. Step 2: Convert to fraction form
    3,289,578/4,934,351 = 4,934,351/x
  3. Step 3: Cross multiply
    3,289,578x = 4,934,351 × 4,934,351
  4. Step 4: Simplify right side
    3,289,578x = 24,347,819,791,201
  5. Step 5: Solve for x
    x = 24,347,819,791,201/3,289,578
  6. Step 6: Final answer
    x = 7,401,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.