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Finding the Third Proportional to 831,809.25 and 1,703,035.13

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Solution

The third proportional to 831,809.25 and 1,703,035.13 is: 3,486,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,809.25 : 1,703,035.13 = 1,703,035.13 : x
  2. Step 2: Convert to fraction form
    831,809.25/1,703,035.13 = 1,703,035.13/x
  3. Step 3: Cross multiply
    831,809.25x = 1,703,035.13 × 1,703,035.13
  4. Step 4: Simplify right side
    831,809.25x = 2,900,328,636,983.77
  5. Step 5: Solve for x
    x = 2,900,328,636,983.77/831,809.25
  6. Step 6: Final answer
    x = 3,486,771.32

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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.