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Finding the Third Proportional to 451,812 and 973,605

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Solution

The third proportional to 451,812 and 973,605 is: 2,098,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,812 : 973,605 = 973,605 : x
  2. Step 2: Convert to fraction form
    451,812/973,605 = 973,605/x
  3. Step 3: Cross multiply
    451,812x = 973,605 × 973,605
  4. Step 4: Simplify right side
    451,812x = 947,906,696,025
  5. Step 5: Solve for x
    x = 947,906,696,025/451,812
  6. Step 6: Final answer
    x = 2,098,011.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.