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Finding the Third Proportional to 963,441 and 2,074,869

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Solution

The third proportional to 963,441 and 2,074,869 is: 4,468,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,441 : 2,074,869 = 2,074,869 : x
  2. Step 2: Convert to fraction form
    963,441/2,074,869 = 2,074,869/x
  3. Step 3: Cross multiply
    963,441x = 2,074,869 × 2,074,869
  4. Step 4: Simplify right side
    963,441x = 4,305,081,367,161
  5. Step 5: Solve for x
    x = 4,305,081,367,161/963,441
  6. Step 6: Final answer
    x = 4,468,443.18

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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.