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Finding the Third Proportional to 711,189 and 1,540,962

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Solution

The third proportional to 711,189 and 1,540,962 is: 3,338,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,189 : 1,540,962 = 1,540,962 : x
  2. Step 2: Convert to fraction form
    711,189/1,540,962 = 1,540,962/x
  3. Step 3: Cross multiply
    711,189x = 1,540,962 × 1,540,962
  4. Step 4: Simplify right side
    711,189x = 2,374,563,885,444
  5. Step 5: Solve for x
    x = 2,374,563,885,444/711,189
  6. Step 6: Final answer
    x = 3,338,864.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.