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Finding the Third Proportional to 851,467 and 1,309,145

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Solution

The third proportional to 851,467 and 1,309,145 is: 2,012,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,467 : 1,309,145 = 1,309,145 : x
  2. Step 2: Convert to fraction form
    851,467/1,309,145 = 1,309,145/x
  3. Step 3: Cross multiply
    851,467x = 1,309,145 × 1,309,145
  4. Step 4: Simplify right side
    851,467x = 1,713,860,631,025
  5. Step 5: Solve for x
    x = 1,713,860,631,025/851,467
  6. Step 6: Final answer
    x = 2,012,832.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.