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Finding the Third Proportional to 2,846,164 and 6,223,256

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Solution

The third proportional to 2,846,164 and 6,223,256 is: 13,607,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,164 : 6,223,256 = 6,223,256 : x
  2. Step 2: Convert to fraction form
    2,846,164/6,223,256 = 6,223,256/x
  3. Step 3: Cross multiply
    2,846,164x = 6,223,256 × 6,223,256
  4. Step 4: Simplify right side
    2,846,164x = 38,728,915,241,536
  5. Step 5: Solve for x
    x = 38,728,915,241,536/2,846,164
  6. Step 6: Final answer
    x = 13,607,408.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.