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Finding the Third Proportional to 664,586 and 1,423,672

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Solution

The third proportional to 664,586 and 1,423,672 is: 3,049,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,586 : 1,423,672 = 1,423,672 : x
  2. Step 2: Convert to fraction form
    664,586/1,423,672 = 1,423,672/x
  3. Step 3: Cross multiply
    664,586x = 1,423,672 × 1,423,672
  4. Step 4: Simplify right side
    664,586x = 2,026,841,963,584
  5. Step 5: Solve for x
    x = 2,026,841,963,584/664,586
  6. Step 6: Final answer
    x = 3,049,781.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.