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Finding the Third Proportional to 853,433 and 1,833,374

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Solution

The third proportional to 853,433 and 1,833,374 is: 3,938,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,433 : 1,833,374 = 1,833,374 : x
  2. Step 2: Convert to fraction form
    853,433/1,833,374 = 1,833,374/x
  3. Step 3: Cross multiply
    853,433x = 1,833,374 × 1,833,374
  4. Step 4: Simplify right side
    853,433x = 3,361,260,223,876
  5. Step 5: Solve for x
    x = 3,361,260,223,876/853,433
  6. Step 6: Final answer
    x = 3,938,516.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.