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Finding the Third Proportional to 1,109,081 and 2,270,623

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Solution

The third proportional to 1,109,081 and 2,270,623 is: 4,648,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,081 : 2,270,623 = 2,270,623 : x
  2. Step 2: Convert to fraction form
    1,109,081/2,270,623 = 2,270,623/x
  3. Step 3: Cross multiply
    1,109,081x = 2,270,623 × 2,270,623
  4. Step 4: Simplify right side
    1,109,081x = 5,155,728,808,129
  5. Step 5: Solve for x
    x = 5,155,728,808,129/1,109,081
  6. Step 6: Final answer
    x = 4,648,649.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.