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Finding the Third Proportional to 683,210 and 1,091,439

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Solution

The third proportional to 683,210 and 1,091,439 is: 1,743,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,210 : 1,091,439 = 1,091,439 : x
  2. Step 2: Convert to fraction form
    683,210/1,091,439 = 1,091,439/x
  3. Step 3: Cross multiply
    683,210x = 1,091,439 × 1,091,439
  4. Step 4: Simplify right side
    683,210x = 1,191,239,090,721
  5. Step 5: Solve for x
    x = 1,191,239,090,721/683,210
  6. Step 6: Final answer
    x = 1,743,591.42

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.