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Finding the Third Proportional to 2,291,902 and 4,857,002

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Solution

The third proportional to 2,291,902 and 4,857,002 is: 10,292,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,902 : 4,857,002 = 4,857,002 : x
  2. Step 2: Convert to fraction form
    2,291,902/4,857,002 = 4,857,002/x
  3. Step 3: Cross multiply
    2,291,902x = 4,857,002 × 4,857,002
  4. Step 4: Simplify right side
    2,291,902x = 23,590,468,428,004
  5. Step 5: Solve for x
    x = 23,590,468,428,004/2,291,902
  6. Step 6: Final answer
    x = 10,292,965.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.