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Finding the Third Proportional to 1,003,122 and 2,163,708

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Solution

The third proportional to 1,003,122 and 2,163,708 is: 4,667,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,122 : 2,163,708 = 2,163,708 : x
  2. Step 2: Convert to fraction form
    1,003,122/2,163,708 = 2,163,708/x
  3. Step 3: Cross multiply
    1,003,122x = 2,163,708 × 2,163,708
  4. Step 4: Simplify right side
    1,003,122x = 4,681,632,309,264
  5. Step 5: Solve for x
    x = 4,681,632,309,264/1,003,122
  6. Step 6: Final answer
    x = 4,667,061.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.