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Finding the Third Proportional to 948,114 and 2,066,652

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Solution

The third proportional to 948,114 and 2,066,652 is: 4,504,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,114 : 2,066,652 = 2,066,652 : x
  2. Step 2: Convert to fraction form
    948,114/2,066,652 = 2,066,652/x
  3. Step 3: Cross multiply
    948,114x = 2,066,652 × 2,066,652
  4. Step 4: Simplify right side
    948,114x = 4,271,050,489,104
  5. Step 5: Solve for x
    x = 4,271,050,489,104/948,114
  6. Step 6: Final answer
    x = 4,504,785.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.