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Finding the Third Proportional to 742,910 and 1,628,226

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Solution

The third proportional to 742,910 and 1,628,226 is: 3,568,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,910 : 1,628,226 = 1,628,226 : x
  2. Step 2: Convert to fraction form
    742,910/1,628,226 = 1,628,226/x
  3. Step 3: Cross multiply
    742,910x = 1,628,226 × 1,628,226
  4. Step 4: Simplify right side
    742,910x = 2,651,119,907,076
  5. Step 5: Solve for x
    x = 2,651,119,907,076/742,910
  6. Step 6: Final answer
    x = 3,568,561.34

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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.