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Finding the Third Proportional to 676,589 and 1,458,952

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Solution

The third proportional to 676,589 and 1,458,952 is: 3,145,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,589 : 1,458,952 = 1,458,952 : x
  2. Step 2: Convert to fraction form
    676,589/1,458,952 = 1,458,952/x
  3. Step 3: Cross multiply
    676,589x = 1,458,952 × 1,458,952
  4. Step 4: Simplify right side
    676,589x = 2,128,540,938,304
  5. Step 5: Solve for x
    x = 2,128,540,938,304/676,589
  6. Step 6: Final answer
    x = 3,145,988.09

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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.