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Finding the Third Proportional to 683,565 and 1,472,311

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Solution

The third proportional to 683,565 and 1,472,311 is: 3,171,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,565 : 1,472,311 = 1,472,311 : x
  2. Step 2: Convert to fraction form
    683,565/1,472,311 = 1,472,311/x
  3. Step 3: Cross multiply
    683,565x = 1,472,311 × 1,472,311
  4. Step 4: Simplify right side
    683,565x = 2,167,699,680,721
  5. Step 5: Solve for x
    x = 2,167,699,680,721/683,565
  6. Step 6: Final answer
    x = 3,171,168.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.