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Finding the Third Proportional to 578,882 and 1,240,834

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Solution

The third proportional to 578,882 and 1,240,834 is: 2,659,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,882 : 1,240,834 = 1,240,834 : x
  2. Step 2: Convert to fraction form
    578,882/1,240,834 = 1,240,834/x
  3. Step 3: Cross multiply
    578,882x = 1,240,834 × 1,240,834
  4. Step 4: Simplify right side
    578,882x = 1,539,669,015,556
  5. Step 5: Solve for x
    x = 1,539,669,015,556/578,882
  6. Step 6: Final answer
    x = 2,659,728.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.