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Finding the Third Proportional to 834,494 and 1,802,020

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Solution

The third proportional to 834,494 and 1,802,020 is: 3,891,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,494 : 1,802,020 = 1,802,020 : x
  2. Step 2: Convert to fraction form
    834,494/1,802,020 = 1,802,020/x
  3. Step 3: Cross multiply
    834,494x = 1,802,020 × 1,802,020
  4. Step 4: Simplify right side
    834,494x = 3,247,276,080,400
  5. Step 5: Solve for x
    x = 3,247,276,080,400/834,494
  6. Step 6: Final answer
    x = 3,891,311.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.