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Finding the Third Proportional to 976,538 and 1,463,843

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Solution

The third proportional to 976,538 and 1,463,843 is: 2,194,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,538 : 1,463,843 = 1,463,843 : x
  2. Step 2: Convert to fraction form
    976,538/1,463,843 = 1,463,843/x
  3. Step 3: Cross multiply
    976,538x = 1,463,843 × 1,463,843
  4. Step 4: Simplify right side
    976,538x = 2,142,836,328,649
  5. Step 5: Solve for x
    x = 2,142,836,328,649/976,538
  6. Step 6: Final answer
    x = 2,194,319.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.