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Finding the Third Proportional to 835,040 and 1,861,324

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Solution

The third proportional to 835,040 and 1,861,324 is: 4,148,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,040 : 1,861,324 = 1,861,324 : x
  2. Step 2: Convert to fraction form
    835,040/1,861,324 = 1,861,324/x
  3. Step 3: Cross multiply
    835,040x = 1,861,324 × 1,861,324
  4. Step 4: Simplify right side
    835,040x = 3,464,527,032,976
  5. Step 5: Solve for x
    x = 3,464,527,032,976/835,040
  6. Step 6: Final answer
    x = 4,148,935.42

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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.