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Finding the Third Proportional to 624,633.75 and 1,356,294

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Solution

The third proportional to 624,633.75 and 1,356,294 is: 2,944,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,633.75 : 1,356,294 = 1,356,294 : x
  2. Step 2: Convert to fraction form
    624,633.75/1,356,294 = 1,356,294/x
  3. Step 3: Cross multiply
    624,633.75x = 1,356,294 × 1,356,294
  4. Step 4: Simplify right side
    624,633.75x = 1,839,533,414,436
  5. Step 5: Solve for x
    x = 1,839,533,414,436/624,633.75
  6. Step 6: Final answer
    x = 2,944,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.