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Finding the Third Proportional to 800,127 and 1,888,767

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Solution

The third proportional to 800,127 and 1,888,767 is: 4,458,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,127 : 1,888,767 = 1,888,767 : x
  2. Step 2: Convert to fraction form
    800,127/1,888,767 = 1,888,767/x
  3. Step 3: Cross multiply
    800,127x = 1,888,767 × 1,888,767
  4. Step 4: Simplify right side
    800,127x = 3,567,440,780,289
  5. Step 5: Solve for x
    x = 3,567,440,780,289/800,127
  6. Step 6: Final answer
    x = 4,458,593.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.