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Finding the Third Proportional to 1,109,199 and 2,270,970

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Solution

The third proportional to 1,109,199 and 2,270,970 is: 4,649,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,199 : 2,270,970 = 2,270,970 : x
  2. Step 2: Convert to fraction form
    1,109,199/2,270,970 = 2,270,970/x
  3. Step 3: Cross multiply
    1,109,199x = 2,270,970 × 2,270,970
  4. Step 4: Simplify right side
    1,109,199x = 5,157,304,740,900
  5. Step 5: Solve for x
    x = 5,157,304,740,900/1,109,199
  6. Step 6: Final answer
    x = 4,649,575.72

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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.