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Finding the Third Proportional to 624,834 and 1,344,600

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Solution

The third proportional to 624,834 and 1,344,600 is: 2,893,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,834 : 1,344,600 = 1,344,600 : x
  2. Step 2: Convert to fraction form
    624,834/1,344,600 = 1,344,600/x
  3. Step 3: Cross multiply
    624,834x = 1,344,600 × 1,344,600
  4. Step 4: Simplify right side
    624,834x = 1,807,949,160,000
  5. Step 5: Solve for x
    x = 1,807,949,160,000/624,834
  6. Step 6: Final answer
    x = 2,893,487.17

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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.