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Finding the Third Proportional to 841,304 and 1,825,311

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Solution

The third proportional to 841,304 and 1,825,311 is: 3,960,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,304 : 1,825,311 = 1,825,311 : x
  2. Step 2: Convert to fraction form
    841,304/1,825,311 = 1,825,311/x
  3. Step 3: Cross multiply
    841,304x = 1,825,311 × 1,825,311
  4. Step 4: Simplify right side
    841,304x = 3,331,760,246,721
  5. Step 5: Solve for x
    x = 3,331,760,246,721/841,304
  6. Step 6: Final answer
    x = 3,960,233.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.