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Finding the Third Proportional to 683,576 and 1,472,334

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Solution

The third proportional to 683,576 and 1,472,334 is: 3,171,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,576 : 1,472,334 = 1,472,334 : x
  2. Step 2: Convert to fraction form
    683,576/1,472,334 = 1,472,334/x
  3. Step 3: Cross multiply
    683,576x = 1,472,334 × 1,472,334
  4. Step 4: Simplify right side
    683,576x = 2,167,767,407,556
  5. Step 5: Solve for x
    x = 2,167,767,407,556/683,576
  6. Step 6: Final answer
    x = 3,171,216.38

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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.