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Finding the Third Proportional to 835,050 and 1,861,344

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Solution

The third proportional to 835,050 and 1,861,344 is: 4,148,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,050 : 1,861,344 = 1,861,344 : x
  2. Step 2: Convert to fraction form
    835,050/1,861,344 = 1,861,344/x
  3. Step 3: Cross multiply
    835,050x = 1,861,344 × 1,861,344
  4. Step 4: Simplify right side
    835,050x = 3,464,601,486,336
  5. Step 5: Solve for x
    x = 3,464,601,486,336/835,050
  6. Step 6: Final answer
    x = 4,148,974.90

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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.