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Finding the Third Proportional to 620,576 and 1,336,144

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Solution

The third proportional to 620,576 and 1,336,144 is: 2,876,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,576 : 1,336,144 = 1,336,144 : x
  2. Step 2: Convert to fraction form
    620,576/1,336,144 = 1,336,144/x
  3. Step 3: Cross multiply
    620,576x = 1,336,144 × 1,336,144
  4. Step 4: Simplify right side
    620,576x = 1,785,280,788,736
  5. Step 5: Solve for x
    x = 1,785,280,788,736/620,576
  6. Step 6: Final answer
    x = 2,876,812.49

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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.