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Finding the Third Proportional to 1,405,708 and 2,141,646

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Solution

The third proportional to 1,405,708 and 2,141,646 is: 3,262,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,708 : 2,141,646 = 2,141,646 : x
  2. Step 2: Convert to fraction form
    1,405,708/2,141,646 = 2,141,646/x
  3. Step 3: Cross multiply
    1,405,708x = 2,141,646 × 2,141,646
  4. Step 4: Simplify right side
    1,405,708x = 4,586,647,589,316
  5. Step 5: Solve for x
    x = 4,586,647,589,316/1,405,708
  6. Step 6: Final answer
    x = 3,262,873.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.