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Finding the Third Proportional to 516,166 and 1,113,972

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Solution

The third proportional to 516,166 and 1,113,972 is: 2,404,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,166 : 1,113,972 = 1,113,972 : x
  2. Step 2: Convert to fraction form
    516,166/1,113,972 = 1,113,972/x
  3. Step 3: Cross multiply
    516,166x = 1,113,972 × 1,113,972
  4. Step 4: Simplify right side
    516,166x = 1,240,933,616,784
  5. Step 5: Solve for x
    x = 1,240,933,616,784/516,166
  6. Step 6: Final answer
    x = 2,404,136.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.