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Finding the Third Proportional to 839,814 and 1,275,273

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Solution

The third proportional to 839,814 and 1,275,273 is: 1,936,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,814 : 1,275,273 = 1,275,273 : x
  2. Step 2: Convert to fraction form
    839,814/1,275,273 = 1,275,273/x
  3. Step 3: Cross multiply
    839,814x = 1,275,273 × 1,275,273
  4. Step 4: Simplify right side
    839,814x = 1,626,321,224,529
  5. Step 5: Solve for x
    x = 1,626,321,224,529/839,814
  6. Step 6: Final answer
    x = 1,936,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.