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Finding the Third Proportional to 783,288 and 1,715,832

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Solution

The third proportional to 783,288 and 1,715,832 is: 3,758,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,288 : 1,715,832 = 1,715,832 : x
  2. Step 2: Convert to fraction form
    783,288/1,715,832 = 1,715,832/x
  3. Step 3: Cross multiply
    783,288x = 1,715,832 × 1,715,832
  4. Step 4: Simplify right side
    783,288x = 2,944,079,452,224
  5. Step 5: Solve for x
    x = 2,944,079,452,224/783,288
  6. Step 6: Final answer
    x = 3,758,616.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.