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Finding the Third Proportional to 976,319 and 1,511,589

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Solution

The third proportional to 976,319 and 1,511,589 is: 2,340,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,319 : 1,511,589 = 1,511,589 : x
  2. Step 2: Convert to fraction form
    976,319/1,511,589 = 1,511,589/x
  3. Step 3: Cross multiply
    976,319x = 1,511,589 × 1,511,589
  4. Step 4: Simplify right side
    976,319x = 2,284,901,304,921
  5. Step 5: Solve for x
    x = 2,284,901,304,921/976,319
  6. Step 6: Final answer
    x = 2,340,322.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.