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Finding the Third Proportional to 831,264 and 1,804,224

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Solution

The third proportional to 831,264 and 1,804,224 is: 3,915,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,264 : 1,804,224 = 1,804,224 : x
  2. Step 2: Convert to fraction form
    831,264/1,804,224 = 1,804,224/x
  3. Step 3: Cross multiply
    831,264x = 1,804,224 × 1,804,224
  4. Step 4: Simplify right side
    831,264x = 3,255,224,242,176
  5. Step 5: Solve for x
    x = 3,255,224,242,176/831,264
  6. Step 6: Final answer
    x = 3,915,993.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.