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Finding the Third Proportional to 2,023,686 and 4,128,661.13

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Solution

The third proportional to 2,023,686 and 4,128,661.13 is: 8,423,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,686 : 4,128,661.13 = 4,128,661.13 : x
  2. Step 2: Convert to fraction form
    2,023,686/4,128,661.13 = 4,128,661.13/x
  3. Step 3: Cross multiply
    2,023,686x = 4,128,661.13 × 4,128,661.13
  4. Step 4: Simplify right side
    2,023,686x = 17,045,842,685,086.27
  5. Step 5: Solve for x
    x = 17,045,842,685,086.27/2,023,686
  6. Step 6: Final answer
    x = 8,423,165.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.