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Finding the Third Proportional to 451,872 and 973,764

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Solution

The third proportional to 451,872 and 973,764 is: 2,098,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,872 : 973,764 = 973,764 : x
  2. Step 2: Convert to fraction form
    451,872/973,764 = 973,764/x
  3. Step 3: Cross multiply
    451,872x = 973,764 × 973,764
  4. Step 4: Simplify right side
    451,872x = 948,216,327,696
  5. Step 5: Solve for x
    x = 948,216,327,696/451,872
  6. Step 6: Final answer
    x = 2,098,417.98

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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.