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Finding the Third Proportional to 796,782 and 1,720,332

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Solution

The third proportional to 796,782 and 1,720,332 is: 3,714,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,782 : 1,720,332 = 1,720,332 : x
  2. Step 2: Convert to fraction form
    796,782/1,720,332 = 1,720,332/x
  3. Step 3: Cross multiply
    796,782x = 1,720,332 × 1,720,332
  4. Step 4: Simplify right side
    796,782x = 2,959,542,190,224
  5. Step 5: Solve for x
    x = 2,959,542,190,224/796,782
  6. Step 6: Final answer
    x = 3,714,368.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.