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Finding the Third Proportional to 1,243,694 and 2,677,657

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Solution

The third proportional to 1,243,694 and 2,677,657 is: 5,764,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,694 : 2,677,657 = 2,677,657 : x
  2. Step 2: Convert to fraction form
    1,243,694/2,677,657 = 2,677,657/x
  3. Step 3: Cross multiply
    1,243,694x = 2,677,657 × 2,677,657
  4. Step 4: Simplify right side
    1,243,694x = 7,169,847,009,649
  5. Step 5: Solve for x
    x = 7,169,847,009,649/1,243,694
  6. Step 6: Final answer
    x = 5,764,960.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.