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Finding the Third Proportional to 455,863.50 and 991,998

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Solution

The third proportional to 455,863.50 and 991,998 is: 2,158,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,863.50 : 991,998 = 991,998 : x
  2. Step 2: Convert to fraction form
    455,863.50/991,998 = 991,998/x
  3. Step 3: Cross multiply
    455,863.50x = 991,998 × 991,998
  4. Step 4: Simplify right side
    455,863.50x = 984,060,032,004
  5. Step 5: Solve for x
    x = 984,060,032,004/455,863.50
  6. Step 6: Final answer
    x = 2,158,672.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.