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Finding the Third Proportional to 3,342,849.19 and 5,022,254.81

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Solution

The third proportional to 3,342,849.19 and 5,022,254.81 is: 7,545,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342,849.19 : 5,022,254.81 = 5,022,254.81 : x
  2. Step 2: Convert to fraction form
    3,342,849.19/5,022,254.81 = 5,022,254.81/x
  3. Step 3: Cross multiply
    3,342,849.19x = 5,022,254.81 × 5,022,254.81
  4. Step 4: Simplify right side
    3,342,849.19x = 25,223,043,401,679.41
  5. Step 5: Solve for x
    x = 25,223,043,401,679.41/3,342,849.19
  6. Step 6: Final answer
    x = 7,545,372.82

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