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Finding the Third Proportional to 1,409,678 and 2,269,797

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Solution

The third proportional to 1,409,678 and 2,269,797 is: 3,654,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,678 : 2,269,797 = 2,269,797 : x
  2. Step 2: Convert to fraction form
    1,409,678/2,269,797 = 2,269,797/x
  3. Step 3: Cross multiply
    1,409,678x = 2,269,797 × 2,269,797
  4. Step 4: Simplify right side
    1,409,678x = 5,151,978,421,209
  5. Step 5: Solve for x
    x = 5,151,978,421,209/1,409,678
  6. Step 6: Final answer
    x = 3,654,720.03

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.