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Finding the Third Proportional to 683,610 and 1,472,394

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Solution

The third proportional to 683,610 and 1,472,394 is: 3,171,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,610 : 1,472,394 = 1,472,394 : x
  2. Step 2: Convert to fraction form
    683,610/1,472,394 = 1,472,394/x
  3. Step 3: Cross multiply
    683,610x = 1,472,394 × 1,472,394
  4. Step 4: Simplify right side
    683,610x = 2,167,944,091,236
  5. Step 5: Solve for x
    x = 2,167,944,091,236/683,610
  6. Step 6: Final answer
    x = 3,171,317.11

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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.