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Finding the Third Proportional to 451,632 and 973,764

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Solution

The third proportional to 451,632 and 973,764 is: 2,099,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,632 : 973,764 = 973,764 : x
  2. Step 2: Convert to fraction form
    451,632/973,764 = 973,764/x
  3. Step 3: Cross multiply
    451,632x = 973,764 × 973,764
  4. Step 4: Simplify right side
    451,632x = 948,216,327,696
  5. Step 5: Solve for x
    x = 948,216,327,696/451,632
  6. Step 6: Final answer
    x = 2,099,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.