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Finding the Third Proportional to 742,806 and 1,628,008

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Solution

The third proportional to 742,806 and 1,628,008 is: 3,568,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,806 : 1,628,008 = 1,628,008 : x
  2. Step 2: Convert to fraction form
    742,806/1,628,008 = 1,628,008/x
  3. Step 3: Cross multiply
    742,806x = 1,628,008 × 1,628,008
  4. Step 4: Simplify right side
    742,806x = 2,650,410,048,064
  5. Step 5: Solve for x
    x = 2,650,410,048,064/742,806
  6. Step 6: Final answer
    x = 3,568,105.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.