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Finding the Third Proportional to 871,200 and 1,868,458.50

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Solution

The third proportional to 871,200 and 1,868,458.50 is: 4,007,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,200 : 1,868,458.50 = 1,868,458.50 : x
  2. Step 2: Convert to fraction form
    871,200/1,868,458.50 = 1,868,458.50/x
  3. Step 3: Cross multiply
    871,200x = 1,868,458.50 × 1,868,458.50
  4. Step 4: Simplify right side
    871,200x = 3,491,137,166,222.25
  5. Step 5: Solve for x
    x = 3,491,137,166,222.25/871,200
  6. Step 6: Final answer
    x = 4,007,274.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.