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Finding the Third Proportional to 683,211.38 and 1,085,643

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Solution

The third proportional to 683,211.38 and 1,085,643 is: 1,725,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,211.38 : 1,085,643 = 1,085,643 : x
  2. Step 2: Convert to fraction form
    683,211.38/1,085,643 = 1,085,643/x
  3. Step 3: Cross multiply
    683,211.38x = 1,085,643 × 1,085,643
  4. Step 4: Simplify right side
    683,211.38x = 1,178,620,723,449
  5. Step 5: Solve for x
    x = 1,178,620,723,449/683,211.38
  6. Step 6: Final answer
    x = 1,725,118.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.