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Finding the Third Proportional to 2,078,256 and 3,109,089

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Solution

The third proportional to 2,078,256 and 3,109,089 is: 4,651,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,256 : 3,109,089 = 3,109,089 : x
  2. Step 2: Convert to fraction form
    2,078,256/3,109,089 = 3,109,089/x
  3. Step 3: Cross multiply
    2,078,256x = 3,109,089 × 3,109,089
  4. Step 4: Simplify right side
    2,078,256x = 9,666,434,409,921
  5. Step 5: Solve for x
    x = 9,666,434,409,921/2,078,256
  6. Step 6: Final answer
    x = 4,651,224.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.