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Finding the Third Proportional to 664,921.50 and 1,462,683

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Solution

The third proportional to 664,921.50 and 1,462,683 is: 3,217,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,921.50 : 1,462,683 = 1,462,683 : x
  2. Step 2: Convert to fraction form
    664,921.50/1,462,683 = 1,462,683/x
  3. Step 3: Cross multiply
    664,921.50x = 1,462,683 × 1,462,683
  4. Step 4: Simplify right side
    664,921.50x = 2,139,441,558,489
  5. Step 5: Solve for x
    x = 2,139,441,558,489/664,921.50
  6. Step 6: Final answer
    x = 3,217,585.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.