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Finding the Third Proportional to 1,462,414 and 2,260,003

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Solution

The third proportional to 1,462,414 and 2,260,003 is: 3,492,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,414 : 2,260,003 = 2,260,003 : x
  2. Step 2: Convert to fraction form
    1,462,414/2,260,003 = 2,260,003/x
  3. Step 3: Cross multiply
    1,462,414x = 2,260,003 × 2,260,003
  4. Step 4: Simplify right side
    1,462,414x = 5,107,613,560,009
  5. Step 5: Solve for x
    x = 5,107,613,560,009/1,462,414
  6. Step 6: Final answer
    x = 3,492,590.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.