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Finding the Third Proportional to 1,732,170 and 4,172,961

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Solution

The third proportional to 1,732,170 and 4,172,961 is: 10,053,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,170 : 4,172,961 = 4,172,961 : x
  2. Step 2: Convert to fraction form
    1,732,170/4,172,961 = 4,172,961/x
  3. Step 3: Cross multiply
    1,732,170x = 4,172,961 × 4,172,961
  4. Step 4: Simplify right side
    1,732,170x = 17,413,603,507,521
  5. Step 5: Solve for x
    x = 17,413,603,507,521/1,732,170
  6. Step 6: Final answer
    x = 10,053,056.86

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.