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Finding the Third Proportional to 457,812 and 996,964

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Solution

The third proportional to 457,812 and 996,964 is: 2,171,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812 : 996,964 = 996,964 : x
  2. Step 2: Convert to fraction form
    457,812/996,964 = 996,964/x
  3. Step 3: Cross multiply
    457,812x = 996,964 × 996,964
  4. Step 4: Simplify right side
    457,812x = 993,937,217,296
  5. Step 5: Solve for x
    x = 993,937,217,296/457,812
  6. Step 6: Final answer
    x = 2,171,059.77

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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.