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Finding the Third Proportional to 502,690 and 1,093,834

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Solution

The third proportional to 502,690 and 1,093,834 is: 2,380,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,690 : 1,093,834 = 1,093,834 : x
  2. Step 2: Convert to fraction form
    502,690/1,093,834 = 1,093,834/x
  3. Step 3: Cross multiply
    502,690x = 1,093,834 × 1,093,834
  4. Step 4: Simplify right side
    502,690x = 1,196,472,819,556
  5. Step 5: Solve for x
    x = 1,196,472,819,556/502,690
  6. Step 6: Final answer
    x = 2,380,140.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.