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Finding the Third Proportional to 851,734 and 1,309,170

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Solution

The third proportional to 851,734 and 1,309,170 is: 2,012,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,734 : 1,309,170 = 1,309,170 : x
  2. Step 2: Convert to fraction form
    851,734/1,309,170 = 1,309,170/x
  3. Step 3: Cross multiply
    851,734x = 1,309,170 × 1,309,170
  4. Step 4: Simplify right side
    851,734x = 1,713,926,088,900
  5. Step 5: Solve for x
    x = 1,713,926,088,900/851,734
  6. Step 6: Final answer
    x = 2,012,278.59

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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.