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Finding the Third Proportional to 591,822 and 1,278,243

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Solution

The third proportional to 591,822 and 1,278,243 is: 2,760,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,822 : 1,278,243 = 1,278,243 : x
  2. Step 2: Convert to fraction form
    591,822/1,278,243 = 1,278,243/x
  3. Step 3: Cross multiply
    591,822x = 1,278,243 × 1,278,243
  4. Step 4: Simplify right side
    591,822x = 1,633,905,167,049
  5. Step 5: Solve for x
    x = 1,633,905,167,049/591,822
  6. Step 6: Final answer
    x = 2,760,805.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.