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Finding the Third Proportional to 2,629,184 and 5,656,896

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Solution

The third proportional to 2,629,184 and 5,656,896 is: 12,171,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629,184 : 5,656,896 = 5,656,896 : x
  2. Step 2: Convert to fraction form
    2,629,184/5,656,896 = 5,656,896/x
  3. Step 3: Cross multiply
    2,629,184x = 5,656,896 × 5,656,896
  4. Step 4: Simplify right side
    2,629,184x = 32,000,472,354,816
  5. Step 5: Solve for x
    x = 32,000,472,354,816/2,629,184
  6. Step 6: Final answer
    x = 12,171,256.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.