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Finding the Third Proportional to 853,188 and 1,811,352

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Solution

The third proportional to 853,188 and 1,811,352 is: 3,845,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,188 : 1,811,352 = 1,811,352 : x
  2. Step 2: Convert to fraction form
    853,188/1,811,352 = 1,811,352/x
  3. Step 3: Cross multiply
    853,188x = 1,811,352 × 1,811,352
  4. Step 4: Simplify right side
    853,188x = 3,280,996,067,904
  5. Step 5: Solve for x
    x = 3,280,996,067,904/853,188
  6. Step 6: Final answer
    x = 3,845,572.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.