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Finding the Third Proportional to 1,204,566 and 1,761,529

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Solution

The third proportional to 1,204,566 and 1,761,529 is: 2,576,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,566 : 1,761,529 = 1,761,529 : x
  2. Step 2: Convert to fraction form
    1,204,566/1,761,529 = 1,761,529/x
  3. Step 3: Cross multiply
    1,204,566x = 1,761,529 × 1,761,529
  4. Step 4: Simplify right side
    1,204,566x = 3,102,984,417,841
  5. Step 5: Solve for x
    x = 3,102,984,417,841/1,204,566
  6. Step 6: Final answer
    x = 2,576,018.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.