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Finding the Third Proportional to 2,142,242 and 4,462,036

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Solution

The third proportional to 2,142,242 and 4,462,036 is: 9,293,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,242 : 4,462,036 = 4,462,036 : x
  2. Step 2: Convert to fraction form
    2,142,242/4,462,036 = 4,462,036/x
  3. Step 3: Cross multiply
    2,142,242x = 4,462,036 × 4,462,036
  4. Step 4: Simplify right side
    2,142,242x = 19,909,765,265,296
  5. Step 5: Solve for x
    x = 19,909,765,265,296/2,142,242
  6. Step 6: Final answer
    x = 9,293,891.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.