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Finding the Third Proportional to 796,734 and 1,219,332

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Solution

The third proportional to 796,734 and 1,219,332 is: 1,866,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,734 : 1,219,332 = 1,219,332 : x
  2. Step 2: Convert to fraction form
    796,734/1,219,332 = 1,219,332/x
  3. Step 3: Cross multiply
    796,734x = 1,219,332 × 1,219,332
  4. Step 4: Simplify right side
    796,734x = 1,486,770,526,224
  5. Step 5: Solve for x
    x = 1,486,770,526,224/796,734
  6. Step 6: Final answer
    x = 1,866,081.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.