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Finding the Third Proportional to 601,576 and 1,337,634

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Solution

The third proportional to 601,576 and 1,337,634 is: 2,974,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,576 : 1,337,634 = 1,337,634 : x
  2. Step 2: Convert to fraction form
    601,576/1,337,634 = 1,337,634/x
  3. Step 3: Cross multiply
    601,576x = 1,337,634 × 1,337,634
  4. Step 4: Simplify right side
    601,576x = 1,789,264,717,956
  5. Step 5: Solve for x
    x = 1,789,264,717,956/601,576
  6. Step 6: Final answer
    x = 2,974,295.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.