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Finding the Third Proportional to 605,224 and 910,448

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Solution

The third proportional to 605,224 and 910,448 is: 1,369,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,224 : 910,448 = 910,448 : x
  2. Step 2: Convert to fraction form
    605,224/910,448 = 910,448/x
  3. Step 3: Cross multiply
    605,224x = 910,448 × 910,448
  4. Step 4: Simplify right side
    605,224x = 828,915,560,704
  5. Step 5: Solve for x
    x = 828,915,560,704/605,224
  6. Step 6: Final answer
    x = 1,369,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.