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Finding the Third Proportional to 802,841 and 1,182,084

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Solution

The third proportional to 802,841 and 1,182,084 is: 1,740,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,841 : 1,182,084 = 1,182,084 : x
  2. Step 2: Convert to fraction form
    802,841/1,182,084 = 1,182,084/x
  3. Step 3: Cross multiply
    802,841x = 1,182,084 × 1,182,084
  4. Step 4: Simplify right side
    802,841x = 1,397,322,583,056
  5. Step 5: Solve for x
    x = 1,397,322,583,056/802,841
  6. Step 6: Final answer
    x = 1,740,472.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.