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Finding the Third Proportional to 773,626 and 1,646,902

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Solution

The third proportional to 773,626 and 1,646,902 is: 3,505,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,626 : 1,646,902 = 1,646,902 : x
  2. Step 2: Convert to fraction form
    773,626/1,646,902 = 1,646,902/x
  3. Step 3: Cross multiply
    773,626x = 1,646,902 × 1,646,902
  4. Step 4: Simplify right side
    773,626x = 2,712,286,197,604
  5. Step 5: Solve for x
    x = 2,712,286,197,604/773,626
  6. Step 6: Final answer
    x = 3,505,939.82

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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.