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Finding the Third Proportional to 1,265,793 and 1,690,884

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Solution

The third proportional to 1,265,793 and 1,690,884 is: 2,258,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,793 : 1,690,884 = 1,690,884 : x
  2. Step 2: Convert to fraction form
    1,265,793/1,690,884 = 1,690,884/x
  3. Step 3: Cross multiply
    1,265,793x = 1,690,884 × 1,690,884
  4. Step 4: Simplify right side
    1,265,793x = 2,859,088,701,456
  5. Step 5: Solve for x
    x = 2,859,088,701,456/1,265,793
  6. Step 6: Final answer
    x = 2,258,733.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.