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Finding the Third Proportional to 1,101,769 and 2,335,811

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Solution

The third proportional to 1,101,769 and 2,335,811 is: 4,952,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,769 : 2,335,811 = 2,335,811 : x
  2. Step 2: Convert to fraction form
    1,101,769/2,335,811 = 2,335,811/x
  3. Step 3: Cross multiply
    1,101,769x = 2,335,811 × 2,335,811
  4. Step 4: Simplify right side
    1,101,769x = 5,456,013,027,721
  5. Step 5: Solve for x
    x = 5,456,013,027,721/1,101,769
  6. Step 6: Final answer
    x = 4,952,048.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.