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Finding the Third Proportional to 675,822 and 1,463,176

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Solution

The third proportional to 675,822 and 1,463,176 is: 3,167,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,822 : 1,463,176 = 1,463,176 : x
  2. Step 2: Convert to fraction form
    675,822/1,463,176 = 1,463,176/x
  3. Step 3: Cross multiply
    675,822x = 1,463,176 × 1,463,176
  4. Step 4: Simplify right side
    675,822x = 2,140,884,006,976
  5. Step 5: Solve for x
    x = 2,140,884,006,976/675,822
  6. Step 6: Final answer
    x = 3,167,822.31

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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.