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Finding the Third Proportional to 1,409,720 and 2,269,864

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Solution

The third proportional to 1,409,720 and 2,269,864 is: 3,654,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,720 : 2,269,864 = 2,269,864 : x
  2. Step 2: Convert to fraction form
    1,409,720/2,269,864 = 2,269,864/x
  3. Step 3: Cross multiply
    1,409,720x = 2,269,864 × 2,269,864
  4. Step 4: Simplify right side
    1,409,720x = 5,152,282,578,496
  5. Step 5: Solve for x
    x = 5,152,282,578,496/1,409,720
  6. Step 6: Final answer
    x = 3,654,826.90

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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.