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Finding the Third Proportional to 664,098 and 996,633

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Solution

The third proportional to 664,098 and 996,633 is: 1,495,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,098 : 996,633 = 996,633 : x
  2. Step 2: Convert to fraction form
    664,098/996,633 = 996,633/x
  3. Step 3: Cross multiply
    664,098x = 996,633 × 996,633
  4. Step 4: Simplify right side
    664,098x = 993,277,336,689
  5. Step 5: Solve for x
    x = 993,277,336,689/664,098
  6. Step 6: Final answer
    x = 1,495,678.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.