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Finding the Third Proportional to 544,674 and 839,982

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Solution

The third proportional to 544,674 and 839,982 is: 1,295,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,674 : 839,982 = 839,982 : x
  2. Step 2: Convert to fraction form
    544,674/839,982 = 839,982/x
  3. Step 3: Cross multiply
    544,674x = 839,982 × 839,982
  4. Step 4: Simplify right side
    544,674x = 705,569,760,324
  5. Step 5: Solve for x
    x = 705,569,760,324/544,674
  6. Step 6: Final answer
    x = 1,295,398.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.