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Finding the Third Proportional to 1,503,826.69 and 3,247,353.84

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Solution

The third proportional to 1,503,826.69 and 3,247,353.84 is: 7,012,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,826.69 : 3,247,353.84 = 3,247,353.84 : x
  2. Step 2: Convert to fraction form
    1,503,826.69/3,247,353.84 = 3,247,353.84/x
  3. Step 3: Cross multiply
    1,503,826.69x = 3,247,353.84 × 3,247,353.84
  4. Step 4: Simplify right side
    1,503,826.69x = 10,545,306,986,517.90
  5. Step 5: Solve for x
    x = 10,545,306,986,517.90/1,503,826.69
  6. Step 6: Final answer
    x = 7,012,315.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.