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Finding the Third Proportional to 3,193,938 and 4,829,014.13

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Solution

The third proportional to 3,193,938 and 4,829,014.13 is: 7,301,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,938 : 4,829,014.13 = 4,829,014.13 : x
  2. Step 2: Convert to fraction form
    3,193,938/4,829,014.13 = 4,829,014.13/x
  3. Step 3: Cross multiply
    3,193,938x = 4,829,014.13 × 4,829,014.13
  4. Step 4: Simplify right side
    3,193,938x = 23,319,377,419,449.52
  5. Step 5: Solve for x
    x = 23,319,377,419,449.52/3,193,938
  6. Step 6: Final answer
    x = 7,301,136.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.