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Finding the Third Proportional to 664,238 and 1,057,446

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Solution

The third proportional to 664,238 and 1,057,446 is: 1,683,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,238 : 1,057,446 = 1,057,446 : x
  2. Step 2: Convert to fraction form
    664,238/1,057,446 = 1,057,446/x
  3. Step 3: Cross multiply
    664,238x = 1,057,446 × 1,057,446
  4. Step 4: Simplify right side
    664,238x = 1,118,192,042,916
  5. Step 5: Solve for x
    x = 1,118,192,042,916/664,238
  6. Step 6: Final answer
    x = 1,683,420.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.