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Finding the Third Proportional to 457,693.82 and 996,755.15

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Solution

The third proportional to 457,693.82 and 996,755.15 is: 2,170,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,693.82 : 996,755.15 = 996,755.15 : x
  2. Step 2: Convert to fraction form
    457,693.82/996,755.15 = 996,755.15/x
  3. Step 3: Cross multiply
    457,693.82x = 996,755.15 × 996,755.15
  4. Step 4: Simplify right side
    457,693.82x = 993,520,829,830.19
  5. Step 5: Solve for x
    x = 993,520,829,830.19/457,693.82
  6. Step 6: Final answer
    x = 2,170,710.60

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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.