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Finding the Third Proportional to 683,578 and 1,472,338

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Solution

The third proportional to 683,578 and 1,472,338 is: 3,171,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,578 : 1,472,338 = 1,472,338 : x
  2. Step 2: Convert to fraction form
    683,578/1,472,338 = 1,472,338/x
  3. Step 3: Cross multiply
    683,578x = 1,472,338 × 1,472,338
  4. Step 4: Simplify right side
    683,578x = 2,167,779,186,244
  5. Step 5: Solve for x
    x = 2,167,779,186,244/683,578
  6. Step 6: Final answer
    x = 3,171,224.33

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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.