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Finding the Third Proportional to 665,024 and 1,053,204

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Solution

The third proportional to 665,024 and 1,053,204 is: 1,667,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,024 : 1,053,204 = 1,053,204 : x
  2. Step 2: Convert to fraction form
    665,024/1,053,204 = 1,053,204/x
  3. Step 3: Cross multiply
    665,024x = 1,053,204 × 1,053,204
  4. Step 4: Simplify right side
    665,024x = 1,109,238,665,616
  5. Step 5: Solve for x
    x = 1,109,238,665,616/665,024
  6. Step 6: Final answer
    x = 1,667,967.87

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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.