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Finding the Third Proportional to 802,322 and 1,762,116

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Solution

The third proportional to 802,322 and 1,762,116 is: 3,870,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,322 : 1,762,116 = 1,762,116 : x
  2. Step 2: Convert to fraction form
    802,322/1,762,116 = 1,762,116/x
  3. Step 3: Cross multiply
    802,322x = 1,762,116 × 1,762,116
  4. Step 4: Simplify right side
    802,322x = 3,105,052,797,456
  5. Step 5: Solve for x
    x = 3,105,052,797,456/802,322
  6. Step 6: Final answer
    x = 3,870,083.08

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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.