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Finding the Third Proportional to 3,457,680.75 and 5,074,419

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Solution

The third proportional to 3,457,680.75 and 5,074,419 is: 7,447,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,680.75 : 5,074,419 = 5,074,419 : x
  2. Step 2: Convert to fraction form
    3,457,680.75/5,074,419 = 5,074,419/x
  3. Step 3: Cross multiply
    3,457,680.75x = 5,074,419 × 5,074,419
  4. Step 4: Simplify right side
    3,457,680.75x = 25,749,728,187,561
  5. Step 5: Solve for x
    x = 25,749,728,187,561/3,457,680.75
  6. Step 6: Final answer
    x = 7,447,109.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.