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Finding the Third Proportional to 835,062 and 1,861,364

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Solution

The third proportional to 835,062 and 1,861,364 is: 4,149,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,062 : 1,861,364 = 1,861,364 : x
  2. Step 2: Convert to fraction form
    835,062/1,861,364 = 1,861,364/x
  3. Step 3: Cross multiply
    835,062x = 1,861,364 × 1,861,364
  4. Step 4: Simplify right side
    835,062x = 3,464,675,940,496
  5. Step 5: Solve for x
    x = 3,464,675,940,496/835,062
  6. Step 6: Final answer
    x = 4,149,004.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.