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Finding the Third Proportional to 606,576 and 1,262,400

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Solution

The third proportional to 606,576 and 1,262,400 is: 2,627,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,576 : 1,262,400 = 1,262,400 : x
  2. Step 2: Convert to fraction form
    606,576/1,262,400 = 1,262,400/x
  3. Step 3: Cross multiply
    606,576x = 1,262,400 × 1,262,400
  4. Step 4: Simplify right side
    606,576x = 1,593,653,760,000
  5. Step 5: Solve for x
    x = 1,593,653,760,000/606,576
  6. Step 6: Final answer
    x = 2,627,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.