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Finding the Third Proportional to 733,576 and 1,607,120

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Solution

The third proportional to 733,576 and 1,607,120 is: 3,520,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,576 : 1,607,120 = 1,607,120 : x
  2. Step 2: Convert to fraction form
    733,576/1,607,120 = 1,607,120/x
  3. Step 3: Cross multiply
    733,576x = 1,607,120 × 1,607,120
  4. Step 4: Simplify right side
    733,576x = 2,582,834,694,400
  5. Step 5: Solve for x
    x = 2,582,834,694,400/733,576
  6. Step 6: Final answer
    x = 3,520,882.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.