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Finding the Third Proportional to 471,013 and 1,020,218

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Solution

The third proportional to 471,013 and 1,020,218 is: 2,209,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,013 : 1,020,218 = 1,020,218 : x
  2. Step 2: Convert to fraction form
    471,013/1,020,218 = 1,020,218/x
  3. Step 3: Cross multiply
    471,013x = 1,020,218 × 1,020,218
  4. Step 4: Simplify right side
    471,013x = 1,040,844,767,524
  5. Step 5: Solve for x
    x = 1,040,844,767,524/471,013
  6. Step 6: Final answer
    x = 2,209,800.51

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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.