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Finding the Third Proportional to 516,269 and 1,107,271

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Solution

The third proportional to 516,269 and 1,107,271 is: 2,374,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,269 : 1,107,271 = 1,107,271 : x
  2. Step 2: Convert to fraction form
    516,269/1,107,271 = 1,107,271/x
  3. Step 3: Cross multiply
    516,269x = 1,107,271 × 1,107,271
  4. Step 4: Simplify right side
    516,269x = 1,226,049,067,441
  5. Step 5: Solve for x
    x = 1,226,049,067,441/516,269
  6. Step 6: Final answer
    x = 2,374,826.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.