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Finding the Third Proportional to 664,712 and 1,449,724

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Solution

The third proportional to 664,712 and 1,449,724 is: 3,161,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,712 : 1,449,724 = 1,449,724 : x
  2. Step 2: Convert to fraction form
    664,712/1,449,724 = 1,449,724/x
  3. Step 3: Cross multiply
    664,712x = 1,449,724 × 1,449,724
  4. Step 4: Simplify right side
    664,712x = 2,101,699,676,176
  5. Step 5: Solve for x
    x = 2,101,699,676,176/664,712
  6. Step 6: Final answer
    x = 3,161,819.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.