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Finding the Third Proportional to 1,942,773.61 and 2,914,391.07

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Solution

The third proportional to 1,942,773.61 and 2,914,391.07 is: 4,371,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,773.61 : 2,914,391.07 = 2,914,391.07 : x
  2. Step 2: Convert to fraction form
    1,942,773.61/2,914,391.07 = 2,914,391.07/x
  3. Step 3: Cross multiply
    1,942,773.61x = 2,914,391.07 × 2,914,391.07
  4. Step 4: Simplify right side
    1,942,773.61x = 8,493,675,333,486.21
  5. Step 5: Solve for x
    x = 8,493,675,333,486.21/1,942,773.61
  6. Step 6: Final answer
    x = 4,371,932.63

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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.