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Finding the Third Proportional to 802,293 and 1,762,059

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Solution

The third proportional to 802,293 and 1,762,059 is: 3,869,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,293 : 1,762,059 = 1,762,059 : x
  2. Step 2: Convert to fraction form
    802,293/1,762,059 = 1,762,059/x
  3. Step 3: Cross multiply
    802,293x = 1,762,059 × 1,762,059
  4. Step 4: Simplify right side
    802,293x = 3,104,851,919,481
  5. Step 5: Solve for x
    x = 3,104,851,919,481/802,293
  6. Step 6: Final answer
    x = 3,869,972.59

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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.