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Finding the Third Proportional to 948,742.03 and 1,467,449.16

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Solution

The third proportional to 948,742.03 and 1,467,449.16 is: 2,269,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,742.03 : 1,467,449.16 = 1,467,449.16 : x
  2. Step 2: Convert to fraction form
    948,742.03/1,467,449.16 = 1,467,449.16/x
  3. Step 3: Cross multiply
    948,742.03x = 1,467,449.16 × 1,467,449.16
  4. Step 4: Simplify right side
    948,742.03x = 2,153,407,026,178.84
  5. Step 5: Solve for x
    x = 2,153,407,026,178.84/948,742.03
  6. Step 6: Final answer
    x = 2,269,749.79

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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.