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Finding the Third Proportional to 732,106 and 1,576,600

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Solution

The third proportional to 732,106 and 1,576,600 is: 3,395,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,106 : 1,576,600 = 1,576,600 : x
  2. Step 2: Convert to fraction form
    732,106/1,576,600 = 1,576,600/x
  3. Step 3: Cross multiply
    732,106x = 1,576,600 × 1,576,600
  4. Step 4: Simplify right side
    732,106x = 2,485,667,560,000
  5. Step 5: Solve for x
    x = 2,485,667,560,000/732,106
  6. Step 6: Final answer
    x = 3,395,229.05

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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.