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Finding the Third Proportional to 835,052 and 1,861,348

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Solution

The third proportional to 835,052 and 1,861,348 is: 4,148,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,052 : 1,861,348 = 1,861,348 : x
  2. Step 2: Convert to fraction form
    835,052/1,861,348 = 1,861,348/x
  3. Step 3: Cross multiply
    835,052x = 1,861,348 × 1,861,348
  4. Step 4: Simplify right side
    835,052x = 3,464,616,377,104
  5. Step 5: Solve for x
    x = 3,464,616,377,104/835,052
  6. Step 6: Final answer
    x = 4,148,982.79

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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.