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Finding the Third Proportional to 435,745.13 and 943,845.75

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Solution

The third proportional to 435,745.13 and 943,845.75 is: 2,044,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,745.13 : 943,845.75 = 943,845.75 : x
  2. Step 2: Convert to fraction form
    435,745.13/943,845.75 = 943,845.75/x
  3. Step 3: Cross multiply
    435,745.13x = 943,845.75 × 943,845.75
  4. Step 4: Simplify right side
    435,745.13x = 890,844,799,793.06
  5. Step 5: Solve for x
    x = 890,844,799,793.06/435,745.13
  6. Step 6: Final answer
    x = 2,044,417.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.