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Finding the Third Proportional to 834,576 and 1,802,190

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Solution

The third proportional to 834,576 and 1,802,190 is: 3,891,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,576 : 1,802,190 = 1,802,190 : x
  2. Step 2: Convert to fraction form
    834,576/1,802,190 = 1,802,190/x
  3. Step 3: Cross multiply
    834,576x = 1,802,190 × 1,802,190
  4. Step 4: Simplify right side
    834,576x = 3,247,888,796,100
  5. Step 5: Solve for x
    x = 3,247,888,796,100/834,576
  6. Step 6: Final answer
    x = 3,891,663.31

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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.