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Finding the Third Proportional to 773,622 and 1,646,894

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Solution

The third proportional to 773,622 and 1,646,894 is: 3,505,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,622 : 1,646,894 = 1,646,894 : x
  2. Step 2: Convert to fraction form
    773,622/1,646,894 = 1,646,894/x
  3. Step 3: Cross multiply
    773,622x = 1,646,894 × 1,646,894
  4. Step 4: Simplify right side
    773,622x = 2,712,259,847,236
  5. Step 5: Solve for x
    x = 2,712,259,847,236/773,622
  6. Step 6: Final answer
    x = 3,505,923.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.