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Finding the Third Proportional to 2,781,350 and 5,775,864

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Solution

The third proportional to 2,781,350 and 5,775,864 is: 11,994,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,350 : 5,775,864 = 5,775,864 : x
  2. Step 2: Convert to fraction form
    2,781,350/5,775,864 = 5,775,864/x
  3. Step 3: Cross multiply
    2,781,350x = 5,775,864 × 5,775,864
  4. Step 4: Simplify right side
    2,781,350x = 33,360,604,946,496
  5. Step 5: Solve for x
    x = 33,360,604,946,496/2,781,350
  6. Step 6: Final answer
    x = 11,994,392.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.