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Finding the Third Proportional to 664,965 and 1,053,116

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Solution

The third proportional to 664,965 and 1,053,116 is: 1,667,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,965 : 1,053,116 = 1,053,116 : x
  2. Step 2: Convert to fraction form
    664,965/1,053,116 = 1,053,116/x
  3. Step 3: Cross multiply
    664,965x = 1,053,116 × 1,053,116
  4. Step 4: Simplify right side
    664,965x = 1,109,053,309,456
  5. Step 5: Solve for x
    x = 1,109,053,309,456/664,965
  6. Step 6: Final answer
    x = 1,667,837.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.