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Finding the Third Proportional to 877,200 and 1,823,352

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Solution

The third proportional to 877,200 and 1,823,352 is: 3,790,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,200 : 1,823,352 = 1,823,352 : x
  2. Step 2: Convert to fraction form
    877,200/1,823,352 = 1,823,352/x
  3. Step 3: Cross multiply
    877,200x = 1,823,352 × 1,823,352
  4. Step 4: Simplify right side
    877,200x = 3,324,612,515,904
  5. Step 5: Solve for x
    x = 3,324,612,515,904/877,200
  6. Step 6: Final answer
    x = 3,790,027.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.