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Finding the Third Proportional to 828,567 and 1,804,761

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Solution

The third proportional to 828,567 and 1,804,761 is: 3,931,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,567 : 1,804,761 = 1,804,761 : x
  2. Step 2: Convert to fraction form
    828,567/1,804,761 = 1,804,761/x
  3. Step 3: Cross multiply
    828,567x = 1,804,761 × 1,804,761
  4. Step 4: Simplify right side
    828,567x = 3,257,162,267,121
  5. Step 5: Solve for x
    x = 3,257,162,267,121/828,567
  6. Step 6: Final answer
    x = 3,931,078.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.