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Finding the Third Proportional to 457,773 and 994,356

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Solution

The third proportional to 457,773 and 994,356 is: 2,159,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,773 : 994,356 = 994,356 : x
  2. Step 2: Convert to fraction form
    457,773/994,356 = 994,356/x
  3. Step 3: Cross multiply
    457,773x = 994,356 × 994,356
  4. Step 4: Simplify right side
    457,773x = 988,743,854,736
  5. Step 5: Solve for x
    x = 988,743,854,736/457,773
  6. Step 6: Final answer
    x = 2,159,899.90

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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.