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Finding the Third Proportional to 1,648,728 and 3,474,576

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Solution

The third proportional to 1,648,728 and 3,474,576 is: 7,322,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,728 : 3,474,576 = 3,474,576 : x
  2. Step 2: Convert to fraction form
    1,648,728/3,474,576 = 3,474,576/x
  3. Step 3: Cross multiply
    1,648,728x = 3,474,576 × 3,474,576
  4. Step 4: Simplify right side
    1,648,728x = 12,072,678,379,776
  5. Step 5: Solve for x
    x = 12,072,678,379,776/1,648,728
  6. Step 6: Final answer
    x = 7,322,419.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.