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Finding the Third Proportional to 826,297.50 and 1,773,123

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Solution

The third proportional to 826,297.50 and 1,773,123 is: 3,804,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,297.50 : 1,773,123 = 1,773,123 : x
  2. Step 2: Convert to fraction form
    826,297.50/1,773,123 = 1,773,123/x
  3. Step 3: Cross multiply
    826,297.50x = 1,773,123 × 1,773,123
  4. Step 4: Simplify right side
    826,297.50x = 3,143,965,173,129
  5. Step 5: Solve for x
    x = 3,143,965,173,129/826,297.50
  6. Step 6: Final answer
    x = 3,804,882.83

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