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Finding the Third Proportional to 831,844 and 1,703,104.50

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Solution

The third proportional to 831,844 and 1,703,104.50 is: 3,486,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,844 : 1,703,104.50 = 1,703,104.50 : x
  2. Step 2: Convert to fraction form
    831,844/1,703,104.50 = 1,703,104.50/x
  3. Step 3: Cross multiply
    831,844x = 1,703,104.50 × 1,703,104.50
  4. Step 4: Simplify right side
    831,844x = 2,900,564,937,920.25
  5. Step 5: Solve for x
    x = 2,900,564,937,920.25/831,844
  6. Step 6: Final answer
    x = 3,486,909.73

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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.