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Finding the Third Proportional to 948,200 and 2,073,520

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Solution

The third proportional to 948,200 and 2,073,520 is: 4,534,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,200 : 2,073,520 = 2,073,520 : x
  2. Step 2: Convert to fraction form
    948,200/2,073,520 = 2,073,520/x
  3. Step 3: Cross multiply
    948,200x = 2,073,520 × 2,073,520
  4. Step 4: Simplify right side
    948,200x = 4,299,485,190,400
  5. Step 5: Solve for x
    x = 4,299,485,190,400/948,200
  6. Step 6: Final answer
    x = 4,534,365.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.