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Finding the Third Proportional to 802,200 and 1,203,473

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Solution

The third proportional to 802,200 and 1,203,473 is: 1,805,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,200 : 1,203,473 = 1,203,473 : x
  2. Step 2: Convert to fraction form
    802,200/1,203,473 = 1,203,473/x
  3. Step 3: Cross multiply
    802,200x = 1,203,473 × 1,203,473
  4. Step 4: Simplify right side
    802,200x = 1,448,347,261,729
  5. Step 5: Solve for x
    x = 1,448,347,261,729/802,200
  6. Step 6: Final answer
    x = 1,805,469.04

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Why These Related Problems?

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