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Finding the Third Proportional to 521,499.83 and 1,082,967.47

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Solution

The third proportional to 521,499.83 and 1,082,967.47 is: 2,248,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,499.83 : 1,082,967.47 = 1,082,967.47 : x
  2. Step 2: Convert to fraction form
    521,499.83/1,082,967.47 = 1,082,967.47/x
  3. Step 3: Cross multiply
    521,499.83x = 1,082,967.47 × 1,082,967.47
  4. Step 4: Simplify right side
    521,499.83x = 1,172,818,538,370.78
  5. Step 5: Solve for x
    x = 1,172,818,538,370.78/521,499.83
  6. Step 6: Final answer
    x = 2,248,933.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.