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Finding the Third Proportional to 808,949 and 1,760,539

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Solution

The third proportional to 808,949 and 1,760,539 is: 3,831,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,949 : 1,760,539 = 1,760,539 : x
  2. Step 2: Convert to fraction form
    808,949/1,760,539 = 1,760,539/x
  3. Step 3: Cross multiply
    808,949x = 1,760,539 × 1,760,539
  4. Step 4: Simplify right side
    808,949x = 3,099,497,570,521
  5. Step 5: Solve for x
    x = 3,099,497,570,521/808,949
  6. Step 6: Final answer
    x = 3,831,511.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.