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Finding the Third Proportional to 1,284,876 and 1,690,011

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Solution

The third proportional to 1,284,876 and 1,690,011 is: 2,222,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,876 : 1,690,011 = 1,690,011 : x
  2. Step 2: Convert to fraction form
    1,284,876/1,690,011 = 1,690,011/x
  3. Step 3: Cross multiply
    1,284,876x = 1,690,011 × 1,690,011
  4. Step 4: Simplify right side
    1,284,876x = 2,856,137,180,121
  5. Step 5: Solve for x
    x = 2,856,137,180,121/1,284,876
  6. Step 6: Final answer
    x = 2,222,889.35

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.