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Finding the Third Proportional to 449,632 and 940,832

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Solution

The third proportional to 449,632 and 940,832 is: 1,968,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,632 : 940,832 = 940,832 : x
  2. Step 2: Convert to fraction form
    449,632/940,832 = 940,832/x
  3. Step 3: Cross multiply
    449,632x = 940,832 × 940,832
  4. Step 4: Simplify right side
    449,632x = 885,164,852,224
  5. Step 5: Solve for x
    x = 885,164,852,224/449,632
  6. Step 6: Final answer
    x = 1,968,642.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.