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Finding the Third Proportional to 777,186 and 1,832,022

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Solution

The third proportional to 777,186 and 1,832,022 is: 4,318,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,186 : 1,832,022 = 1,832,022 : x
  2. Step 2: Convert to fraction form
    777,186/1,832,022 = 1,832,022/x
  3. Step 3: Cross multiply
    777,186x = 1,832,022 × 1,832,022
  4. Step 4: Simplify right side
    777,186x = 3,356,304,608,484
  5. Step 5: Solve for x
    x = 3,356,304,608,484/777,186
  6. Step 6: Final answer
    x = 4,318,534.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.