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Finding the Third Proportional to 846,208 and 1,831,744

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Solution

The third proportional to 846,208 and 1,831,744 is: 3,965,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,208 : 1,831,744 = 1,831,744 : x
  2. Step 2: Convert to fraction form
    846,208/1,831,744 = 1,831,744/x
  3. Step 3: Cross multiply
    846,208x = 1,831,744 × 1,831,744
  4. Step 4: Simplify right side
    846,208x = 3,355,286,081,536
  5. Step 5: Solve for x
    x = 3,355,286,081,536/846,208
  6. Step 6: Final answer
    x = 3,965,084.33

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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.