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Finding the Third Proportional to 451,467 and 1,065,690

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Solution

The third proportional to 451,467 and 1,065,690 is: 2,515,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,467 : 1,065,690 = 1,065,690 : x
  2. Step 2: Convert to fraction form
    451,467/1,065,690 = 1,065,690/x
  3. Step 3: Cross multiply
    451,467x = 1,065,690 × 1,065,690
  4. Step 4: Simplify right side
    451,467x = 1,135,695,176,100
  5. Step 5: Solve for x
    x = 1,135,695,176,100/451,467
  6. Step 6: Final answer
    x = 2,515,566.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.