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Finding the Third Proportional to 437,472 and 950,832

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Solution

The third proportional to 437,472 and 950,832 is: 2,066,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,472 : 950,832 = 950,832 : x
  2. Step 2: Convert to fraction form
    437,472/950,832 = 950,832/x
  3. Step 3: Cross multiply
    437,472x = 950,832 × 950,832
  4. Step 4: Simplify right side
    437,472x = 904,081,492,224
  5. Step 5: Solve for x
    x = 904,081,492,224/437,472
  6. Step 6: Final answer
    x = 2,066,604.24

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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.