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Finding the Third Proportional to 451,912 and 973,868

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Solution

The third proportional to 451,912 and 973,868 is: 2,098,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,912 : 973,868 = 973,868 : x
  2. Step 2: Convert to fraction form
    451,912/973,868 = 973,868/x
  3. Step 3: Cross multiply
    451,912x = 973,868 × 973,868
  4. Step 4: Simplify right side
    451,912x = 948,418,881,424
  5. Step 5: Solve for x
    x = 948,418,881,424/451,912
  6. Step 6: Final answer
    x = 2,098,680.45

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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.