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Finding the Third Proportional to 839,256 and 1,796,304

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Solution

The third proportional to 839,256 and 1,796,304 is: 3,844,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,256 : 1,796,304 = 1,796,304 : x
  2. Step 2: Convert to fraction form
    839,256/1,796,304 = 1,796,304/x
  3. Step 3: Cross multiply
    839,256x = 1,796,304 × 1,796,304
  4. Step 4: Simplify right side
    839,256x = 3,226,708,060,416
  5. Step 5: Solve for x
    x = 3,226,708,060,416/839,256
  6. Step 6: Final answer
    x = 3,844,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.