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Finding the Third Proportional to 449,610 and 940,785

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Solution

The third proportional to 449,610 and 940,785 is: 1,968,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,610 : 940,785 = 940,785 : x
  2. Step 2: Convert to fraction form
    449,610/940,785 = 940,785/x
  3. Step 3: Cross multiply
    449,610x = 940,785 × 940,785
  4. Step 4: Simplify right side
    449,610x = 885,076,416,225
  5. Step 5: Solve for x
    x = 885,076,416,225/449,610
  6. Step 6: Final answer
    x = 1,968,542.55

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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.