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Finding the Third Proportional to 4,576,350 and 6,923,568

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Solution

The third proportional to 4,576,350 and 6,923,568 is: 10,474,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,350 : 6,923,568 = 6,923,568 : x
  2. Step 2: Convert to fraction form
    4,576,350/6,923,568 = 6,923,568/x
  3. Step 3: Cross multiply
    4,576,350x = 6,923,568 × 6,923,568
  4. Step 4: Simplify right side
    4,576,350x = 47,935,793,850,624
  5. Step 5: Solve for x
    x = 47,935,793,850,624/4,576,350
  6. Step 6: Final answer
    x = 10,474,678.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.