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Finding the Third Proportional to 2,050,633 and 4,487,267

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Solution

The third proportional to 2,050,633 and 4,487,267 is: 9,819,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,633 : 4,487,267 = 4,487,267 : x
  2. Step 2: Convert to fraction form
    2,050,633/4,487,267 = 4,487,267/x
  3. Step 3: Cross multiply
    2,050,633x = 4,487,267 × 4,487,267
  4. Step 4: Simplify right side
    2,050,633x = 20,135,565,129,289
  5. Step 5: Solve for x
    x = 20,135,565,129,289/2,050,633
  6. Step 6: Final answer
    x = 9,819,194.92

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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.