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Finding the Third Proportional to 591,699 and 1,278,021

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Solution

The third proportional to 591,699 and 1,278,021 is: 2,760,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,699 : 1,278,021 = 1,278,021 : x
  2. Step 2: Convert to fraction form
    591,699/1,278,021 = 1,278,021/x
  3. Step 3: Cross multiply
    591,699x = 1,278,021 × 1,278,021
  4. Step 4: Simplify right side
    591,699x = 1,633,337,676,441
  5. Step 5: Solve for x
    x = 1,633,337,676,441/591,699
  6. Step 6: Final answer
    x = 2,760,419.87

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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.