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Finding the Third Proportional to 467,797 and 1,010,425

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Solution

The third proportional to 467,797 and 1,010,425 is: 2,182,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,797 : 1,010,425 = 1,010,425 : x
  2. Step 2: Convert to fraction form
    467,797/1,010,425 = 1,010,425/x
  3. Step 3: Cross multiply
    467,797x = 1,010,425 × 1,010,425
  4. Step 4: Simplify right side
    467,797x = 1,020,958,680,625
  5. Step 5: Solve for x
    x = 1,020,958,680,625/467,797
  6. Step 6: Final answer
    x = 2,182,482.32

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