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Finding the Third Proportional to 2,781,686 and 5,962,594

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Solution

The third proportional to 2,781,686 and 5,962,594 is: 12,780,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,686 : 5,962,594 = 5,962,594 : x
  2. Step 2: Convert to fraction form
    2,781,686/5,962,594 = 5,962,594/x
  3. Step 3: Cross multiply
    2,781,686x = 5,962,594 × 5,962,594
  4. Step 4: Simplify right side
    2,781,686x = 35,552,527,208,836
  5. Step 5: Solve for x
    x = 35,552,527,208,836/2,781,686
  6. Step 6: Final answer
    x = 12,780,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.