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Finding the Third Proportional to 422,304 and 896,424

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Solution

The third proportional to 422,304 and 896,424 is: 1,902,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,304 : 896,424 = 896,424 : x
  2. Step 2: Convert to fraction form
    422,304/896,424 = 896,424/x
  3. Step 3: Cross multiply
    422,304x = 896,424 × 896,424
  4. Step 4: Simplify right side
    422,304x = 803,575,987,776
  5. Step 5: Solve for x
    x = 803,575,987,776/422,304
  6. Step 6: Final answer
    x = 1,902,837.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.