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Finding the Third Proportional to 831,636 and 1,787,503.50

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Solution

The third proportional to 831,636 and 1,787,503.50 is: 3,842,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,636 : 1,787,503.50 = 1,787,503.50 : x
  2. Step 2: Convert to fraction form
    831,636/1,787,503.50 = 1,787,503.50/x
  3. Step 3: Cross multiply
    831,636x = 1,787,503.50 × 1,787,503.50
  4. Step 4: Simplify right side
    831,636x = 3,195,168,762,512.25
  5. Step 5: Solve for x
    x = 3,195,168,762,512.25/831,636
  6. Step 6: Final answer
    x = 3,842,027.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.