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Finding the Third Proportional to 516,829 and 1,096,272

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Solution

The third proportional to 516,829 and 1,096,272 is: 2,325,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,829 : 1,096,272 = 1,096,272 : x
  2. Step 2: Convert to fraction form
    516,829/1,096,272 = 1,096,272/x
  3. Step 3: Cross multiply
    516,829x = 1,096,272 × 1,096,272
  4. Step 4: Simplify right side
    516,829x = 1,201,812,297,984
  5. Step 5: Solve for x
    x = 1,201,812,297,984/516,829
  6. Step 6: Final answer
    x = 2,325,357.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.