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Finding the Third Proportional to 802,396 and 1,762,231

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Solution

The third proportional to 802,396 and 1,762,231 is: 3,870,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,396 : 1,762,231 = 1,762,231 : x
  2. Step 2: Convert to fraction form
    802,396/1,762,231 = 1,762,231/x
  3. Step 3: Cross multiply
    802,396x = 1,762,231 × 1,762,231
  4. Step 4: Simplify right side
    802,396x = 3,105,458,097,361
  5. Step 5: Solve for x
    x = 3,105,458,097,361/802,396
  6. Step 6: Final answer
    x = 3,870,231.28

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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.