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Finding the Third Proportional to 831,610 and 1,720,266

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Solution

The third proportional to 831,610 and 1,720,266 is: 3,558,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,610 : 1,720,266 = 1,720,266 : x
  2. Step 2: Convert to fraction form
    831,610/1,720,266 = 1,720,266/x
  3. Step 3: Cross multiply
    831,610x = 1,720,266 × 1,720,266
  4. Step 4: Simplify right side
    831,610x = 2,959,315,110,756
  5. Step 5: Solve for x
    x = 2,959,315,110,756/831,610
  6. Step 6: Final answer
    x = 3,558,537.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.