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Finding the Third Proportional to 802,188 and 1,203,454

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Solution

The third proportional to 802,188 and 1,203,454 is: 1,805,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,188 : 1,203,454 = 1,203,454 : x
  2. Step 2: Convert to fraction form
    802,188/1,203,454 = 1,203,454/x
  3. Step 3: Cross multiply
    802,188x = 1,203,454 × 1,203,454
  4. Step 4: Simplify right side
    802,188x = 1,448,301,530,116
  5. Step 5: Solve for x
    x = 1,448,301,530,116/802,188
  6. Step 6: Final answer
    x = 1,805,439.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.