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Finding the Third Proportional to 3,193,941.38 and 4,829,012.44

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Solution

The third proportional to 3,193,941.38 and 4,829,012.44 is: 7,301,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,941.38 : 4,829,012.44 = 4,829,012.44 : x
  2. Step 2: Convert to fraction form
    3,193,941.38/4,829,012.44 = 4,829,012.44/x
  3. Step 3: Cross multiply
    3,193,941.38x = 4,829,012.44 × 4,829,012.44
  4. Step 4: Simplify right side
    3,193,941.38x = 23,319,361,121,529.69
  5. Step 5: Solve for x
    x = 23,319,361,121,529.69/3,193,941.38
  6. Step 6: Final answer
    x = 7,301,123.72

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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.