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Finding the Third Proportional to 451,608.86 and 973,717.14

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Solution

The third proportional to 451,608.86 and 973,717.14 is: 2,099,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,608.86 : 973,717.14 = 973,717.14 : x
  2. Step 2: Convert to fraction form
    451,608.86/973,717.14 = 973,717.14/x
  3. Step 3: Cross multiply
    451,608.86x = 973,717.14 × 973,717.14
  4. Step 4: Simplify right side
    451,608.86x = 948,125,062,339.76
  5. Step 5: Solve for x
    x = 948,125,062,339.76/451,608.86
  6. Step 6: Final answer
    x = 2,099,438.60

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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.