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Finding the Third Proportional to 591,697 and 1,278,018

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Solution

The third proportional to 591,697 and 1,278,018 is: 2,760,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,697 : 1,278,018 = 1,278,018 : x
  2. Step 2: Convert to fraction form
    591,697/1,278,018 = 1,278,018/x
  3. Step 3: Cross multiply
    591,697x = 1,278,018 × 1,278,018
  4. Step 4: Simplify right side
    591,697x = 1,633,330,008,324
  5. Step 5: Solve for x
    x = 1,633,330,008,324/591,697
  6. Step 6: Final answer
    x = 2,760,416.24

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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.