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Finding the Third Proportional to 683,580 and 1,472,342

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Solution

The third proportional to 683,580 and 1,472,342 is: 3,171,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,580 : 1,472,342 = 1,472,342 : x
  2. Step 2: Convert to fraction form
    683,580/1,472,342 = 1,472,342/x
  3. Step 3: Cross multiply
    683,580x = 1,472,342 × 1,472,342
  4. Step 4: Simplify right side
    683,580x = 2,167,790,964,964
  5. Step 5: Solve for x
    x = 2,167,790,964,964/683,580
  6. Step 6: Final answer
    x = 3,171,232.28

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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.