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Finding the Third Proportional to 802,904 and 1,765,498

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Solution

The third proportional to 802,904 and 1,765,498 is: 3,882,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,904 : 1,765,498 = 1,765,498 : x
  2. Step 2: Convert to fraction form
    802,904/1,765,498 = 1,765,498/x
  3. Step 3: Cross multiply
    802,904x = 1,765,498 × 1,765,498
  4. Step 4: Simplify right side
    802,904x = 3,116,983,188,004
  5. Step 5: Solve for x
    x = 3,116,983,188,004/802,904
  6. Step 6: Final answer
    x = 3,882,136.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.