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Finding the Third Proportional to 1,322,219 and 2,864,524

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Solution

The third proportional to 1,322,219 and 2,864,524 is: 6,205,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,219 : 2,864,524 = 2,864,524 : x
  2. Step 2: Convert to fraction form
    1,322,219/2,864,524 = 2,864,524/x
  3. Step 3: Cross multiply
    1,322,219x = 2,864,524 × 2,864,524
  4. Step 4: Simplify right side
    1,322,219x = 8,205,497,746,576
  5. Step 5: Solve for x
    x = 8,205,497,746,576/1,322,219
  6. Step 6: Final answer
    x = 6,205,853.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.