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Finding the Third Proportional to 516,296 and 1,118,381

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Solution

The third proportional to 516,296 and 1,118,381 is: 2,422,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,296 : 1,118,381 = 1,118,381 : x
  2. Step 2: Convert to fraction form
    516,296/1,118,381 = 1,118,381/x
  3. Step 3: Cross multiply
    516,296x = 1,118,381 × 1,118,381
  4. Step 4: Simplify right side
    516,296x = 1,250,776,061,161
  5. Step 5: Solve for x
    x = 1,250,776,061,161/516,296
  6. Step 6: Final answer
    x = 2,422,594.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.