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Finding the Third Proportional to 825,567 and 1,100,871

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Solution

The third proportional to 825,567 and 1,100,871 is: 1,467,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,567 : 1,100,871 = 1,100,871 : x
  2. Step 2: Convert to fraction form
    825,567/1,100,871 = 1,100,871/x
  3. Step 3: Cross multiply
    825,567x = 1,100,871 × 1,100,871
  4. Step 4: Simplify right side
    825,567x = 1,211,916,958,641
  5. Step 5: Solve for x
    x = 1,211,916,958,641/825,567
  6. Step 6: Final answer
    x = 1,467,981.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.