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Finding the Third Proportional to 945,198 and 1,435,272

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Solution

The third proportional to 945,198 and 1,435,272 is: 2,179,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,198 : 1,435,272 = 1,435,272 : x
  2. Step 2: Convert to fraction form
    945,198/1,435,272 = 1,435,272/x
  3. Step 3: Cross multiply
    945,198x = 1,435,272 × 1,435,272
  4. Step 4: Simplify right side
    945,198x = 2,060,005,713,984
  5. Step 5: Solve for x
    x = 2,060,005,713,984/945,198
  6. Step 6: Final answer
    x = 2,179,443.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.