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Finding the Third Proportional to 467,550 and 1,019,340

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Solution

The third proportional to 467,550 and 1,019,340 is: 2,222,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,550 : 1,019,340 = 1,019,340 : x
  2. Step 2: Convert to fraction form
    467,550/1,019,340 = 1,019,340/x
  3. Step 3: Cross multiply
    467,550x = 1,019,340 × 1,019,340
  4. Step 4: Simplify right side
    467,550x = 1,039,054,035,600
  5. Step 5: Solve for x
    x = 1,039,054,035,600/467,550
  6. Step 6: Final answer
    x = 2,222,337.79

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Why These Related Problems?

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