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Finding the Third Proportional to 871,317 and 1,880,293.50

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Solution

The third proportional to 871,317 and 1,880,293.50 is: 4,057,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,317 : 1,880,293.50 = 1,880,293.50 : x
  2. Step 2: Convert to fraction form
    871,317/1,880,293.50 = 1,880,293.50/x
  3. Step 3: Cross multiply
    871,317x = 1,880,293.50 × 1,880,293.50
  4. Step 4: Simplify right side
    871,317x = 3,535,503,646,142.25
  5. Step 5: Solve for x
    x = 3,535,503,646,142.25/871,317
  6. Step 6: Final answer
    x = 4,057,654.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.