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Finding the Third Proportional to 2,094,873.47 and 3,203,204.48

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Solution

The third proportional to 2,094,873.47 and 3,203,204.48 is: 4,897,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,873.47 : 3,203,204.48 = 3,203,204.48 : x
  2. Step 2: Convert to fraction form
    2,094,873.47/3,203,204.48 = 3,203,204.48/x
  3. Step 3: Cross multiply
    2,094,873.47x = 3,203,204.48 × 3,203,204.48
  4. Step 4: Simplify right side
    2,094,873.47x = 10,260,518,968,720.11
  5. Step 5: Solve for x
    x = 10,260,518,968,720.11/2,094,873.47
  6. Step 6: Final answer
    x = 4,897,918.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.