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Finding the Third Proportional to 948,201 and 1,467,229.50

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Solution

The third proportional to 948,201 and 1,467,229.50 is: 2,270,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,201 : 1,467,229.50 = 1,467,229.50 : x
  2. Step 2: Convert to fraction form
    948,201/1,467,229.50 = 1,467,229.50/x
  3. Step 3: Cross multiply
    948,201x = 1,467,229.50 × 1,467,229.50
  4. Step 4: Simplify right side
    948,201x = 2,152,762,405,670.25
  5. Step 5: Solve for x
    x = 2,152,762,405,670.25/948,201
  6. Step 6: Final answer
    x = 2,270,365.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.