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Finding the Third Proportional to 839,977 and 1,291,837

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Solution

The third proportional to 839,977 and 1,291,837 is: 1,986,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,977 : 1,291,837 = 1,291,837 : x
  2. Step 2: Convert to fraction form
    839,977/1,291,837 = 1,291,837/x
  3. Step 3: Cross multiply
    839,977x = 1,291,837 × 1,291,837
  4. Step 4: Simplify right side
    839,977x = 1,668,842,834,569
  5. Step 5: Solve for x
    x = 1,668,842,834,569/839,977
  6. Step 6: Final answer
    x = 1,986,772.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.