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Finding the Third Proportional to 516,018 and 1,165,815.75

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Solution

The third proportional to 516,018 and 1,165,815.75 is: 2,633,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,018 : 1,165,815.75 = 1,165,815.75 : x
  2. Step 2: Convert to fraction form
    516,018/1,165,815.75 = 1,165,815.75/x
  3. Step 3: Cross multiply
    516,018x = 1,165,815.75 × 1,165,815.75
  4. Step 4: Simplify right side
    516,018x = 1,359,126,362,948.06
  5. Step 5: Solve for x
    x = 1,359,126,362,948.06/516,018
  6. Step 6: Final answer
    x = 2,633,873.94

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.