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Finding the Third Proportional to 1,033,099.79 and 2,412,456.06

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Solution

The third proportional to 1,033,099.79 and 2,412,456.06 is: 5,633,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,099.79 : 2,412,456.06 = 2,412,456.06 : x
  2. Step 2: Convert to fraction form
    1,033,099.79/2,412,456.06 = 2,412,456.06/x
  3. Step 3: Cross multiply
    1,033,099.79x = 2,412,456.06 × 2,412,456.06
  4. Step 4: Simplify right side
    1,033,099.79x = 5,819,944,262,916.54
  5. Step 5: Solve for x
    x = 5,819,944,262,916.54/1,033,099.79
  6. Step 6: Final answer
    x = 5,633,477.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.