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Finding the Third Proportional to 613,236 and 1,340,472

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Solution

The third proportional to 613,236 and 1,340,472 is: 2,930,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,236 : 1,340,472 = 1,340,472 : x
  2. Step 2: Convert to fraction form
    613,236/1,340,472 = 1,340,472/x
  3. Step 3: Cross multiply
    613,236x = 1,340,472 × 1,340,472
  4. Step 4: Simplify right side
    613,236x = 1,796,865,182,784
  5. Step 5: Solve for x
    x = 1,796,865,182,784/613,236
  6. Step 6: Final answer
    x = 2,930,136.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.