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Finding the Third Proportional to 831,153 and 1,804,177

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Solution

The third proportional to 831,153 and 1,804,177 is: 3,916,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,153 : 1,804,177 = 1,804,177 : x
  2. Step 2: Convert to fraction form
    831,153/1,804,177 = 1,804,177/x
  3. Step 3: Cross multiply
    831,153x = 1,804,177 × 1,804,177
  4. Step 4: Simplify right side
    831,153x = 3,255,054,647,329
  5. Step 5: Solve for x
    x = 3,255,054,647,329/831,153
  6. Step 6: Final answer
    x = 3,916,312.22

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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.