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Finding the Third Proportional to 831,840 and 1,703,097

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Solution

The third proportional to 831,840 and 1,703,097 is: 3,486,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,840 : 1,703,097 = 1,703,097 : x
  2. Step 2: Convert to fraction form
    831,840/1,703,097 = 1,703,097/x
  3. Step 3: Cross multiply
    831,840x = 1,703,097 × 1,703,097
  4. Step 4: Simplify right side
    831,840x = 2,900,539,391,409
  5. Step 5: Solve for x
    x = 2,900,539,391,409/831,840
  6. Step 6: Final answer
    x = 3,486,895.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.