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Finding the Third Proportional to 834,574 and 1,802,186

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Solution

The third proportional to 834,574 and 1,802,186 is: 3,891,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,574 : 1,802,186 = 1,802,186 : x
  2. Step 2: Convert to fraction form
    834,574/1,802,186 = 1,802,186/x
  3. Step 3: Cross multiply
    834,574x = 1,802,186 × 1,802,186
  4. Step 4: Simplify right side
    834,574x = 3,247,874,378,596
  5. Step 5: Solve for x
    x = 3,247,874,378,596/834,574
  6. Step 6: Final answer
    x = 3,891,655.36

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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.