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Finding the Third Proportional to 3,102,057 and 4,656,366

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Solution

The third proportional to 3,102,057 and 4,656,366 is: 6,989,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,057 : 4,656,366 = 4,656,366 : x
  2. Step 2: Convert to fraction form
    3,102,057/4,656,366 = 4,656,366/x
  3. Step 3: Cross multiply
    3,102,057x = 4,656,366 × 4,656,366
  4. Step 4: Simplify right side
    3,102,057x = 21,681,744,325,956
  5. Step 5: Solve for x
    x = 21,681,744,325,956/3,102,057
  6. Step 6: Final answer
    x = 6,989,473.22

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Why These Related Problems?

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