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Finding the Third Proportional to 2,078,151 and 3,108,864

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Solution

The third proportional to 2,078,151 and 3,108,864 is: 4,650,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,151 : 3,108,864 = 3,108,864 : x
  2. Step 2: Convert to fraction form
    2,078,151/3,108,864 = 3,108,864/x
  3. Step 3: Cross multiply
    2,078,151x = 3,108,864 × 3,108,864
  4. Step 4: Simplify right side
    2,078,151x = 9,665,035,370,496
  5. Step 5: Solve for x
    x = 9,665,035,370,496/2,078,151
  6. Step 6: Final answer
    x = 4,650,785.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.