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Finding the Third Proportional to 591,866 and 1,324,276

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Solution

The third proportional to 591,866 and 1,324,276 is: 2,963,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,866 : 1,324,276 = 1,324,276 : x
  2. Step 2: Convert to fraction form
    591,866/1,324,276 = 1,324,276/x
  3. Step 3: Cross multiply
    591,866x = 1,324,276 × 1,324,276
  4. Step 4: Simplify right side
    591,866x = 1,753,706,924,176
  5. Step 5: Solve for x
    x = 1,753,706,924,176/591,866
  6. Step 6: Final answer
    x = 2,963,013.46

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.