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Finding the Third Proportional to 467,438 and 1,014,364

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Solution

The third proportional to 467,438 and 1,014,364 is: 2,201,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,438 : 1,014,364 = 1,014,364 : x
  2. Step 2: Convert to fraction form
    467,438/1,014,364 = 1,014,364/x
  3. Step 3: Cross multiply
    467,438x = 1,014,364 × 1,014,364
  4. Step 4: Simplify right side
    467,438x = 1,028,934,324,496
  5. Step 5: Solve for x
    x = 1,028,934,324,496/467,438
  6. Step 6: Final answer
    x = 2,201,220.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.