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Finding the Third Proportional to 2,199,504 and 4,600,113

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Solution

The third proportional to 2,199,504 and 4,600,113 is: 9,620,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,504 : 4,600,113 = 4,600,113 : x
  2. Step 2: Convert to fraction form
    2,199,504/4,600,113 = 4,600,113/x
  3. Step 3: Cross multiply
    2,199,504x = 4,600,113 × 4,600,113
  4. Step 4: Simplify right side
    2,199,504x = 21,161,039,612,769
  5. Step 5: Solve for x
    x = 21,161,039,612,769/2,199,504
  6. Step 6: Final answer
    x = 9,620,823.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.