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Finding the Third Proportional to 2,291,899 and 4,856,996

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Solution

The third proportional to 2,291,899 and 4,856,996 is: 10,292,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,899 : 4,856,996 = 4,856,996 : x
  2. Step 2: Convert to fraction form
    2,291,899/4,856,996 = 4,856,996/x
  3. Step 3: Cross multiply
    2,291,899x = 4,856,996 × 4,856,996
  4. Step 4: Simplify right side
    2,291,899x = 23,590,410,144,016
  5. Step 5: Solve for x
    x = 23,590,410,144,016/2,291,899
  6. Step 6: Final answer
    x = 10,292,953.64

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