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Finding the Third Proportional to 664,807 and 996,963

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Solution

The third proportional to 664,807 and 996,963 is: 1,495,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,807 : 996,963 = 996,963 : x
  2. Step 2: Convert to fraction form
    664,807/996,963 = 996,963/x
  3. Step 3: Cross multiply
    664,807x = 996,963 × 996,963
  4. Step 4: Simplify right side
    664,807x = 993,935,223,369
  5. Step 5: Solve for x
    x = 993,935,223,369/664,807
  6. Step 6: Final answer
    x = 1,495,073.34

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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.