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Finding the Third Proportional to 976,325 and 1,511,598

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Solution

The third proportional to 976,325 and 1,511,598 is: 2,340,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,325 : 1,511,598 = 1,511,598 : x
  2. Step 2: Convert to fraction form
    976,325/1,511,598 = 1,511,598/x
  3. Step 3: Cross multiply
    976,325x = 1,511,598 × 1,511,598
  4. Step 4: Simplify right side
    976,325x = 2,284,928,513,604
  5. Step 5: Solve for x
    x = 2,284,928,513,604/976,325
  6. Step 6: Final answer
    x = 2,340,335.97

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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.