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Finding the Third Proportional to 467,271 and 1,016,550

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Solution

The third proportional to 467,271 and 1,016,550 is: 2,211,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,271 : 1,016,550 = 1,016,550 : x
  2. Step 2: Convert to fraction form
    467,271/1,016,550 = 1,016,550/x
  3. Step 3: Cross multiply
    467,271x = 1,016,550 × 1,016,550
  4. Step 4: Simplify right side
    467,271x = 1,033,373,902,500
  5. Step 5: Solve for x
    x = 1,033,373,902,500/467,271
  6. Step 6: Final answer
    x = 2,211,508.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.