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Finding the Third Proportional to 1,274,526 and 2,780,928

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Solution

The third proportional to 1,274,526 and 2,780,928 is: 6,067,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,526 : 2,780,928 = 2,780,928 : x
  2. Step 2: Convert to fraction form
    1,274,526/2,780,928 = 2,780,928/x
  3. Step 3: Cross multiply
    1,274,526x = 2,780,928 × 2,780,928
  4. Step 4: Simplify right side
    1,274,526x = 7,733,560,541,184
  5. Step 5: Solve for x
    x = 7,733,560,541,184/1,274,526
  6. Step 6: Final answer
    x = 6,067,793.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.