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Finding the Third Proportional to 3,102,124 and 4,656,468

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Solution

The third proportional to 3,102,124 and 4,656,468 is: 6,989,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,124 : 4,656,468 = 4,656,468 : x
  2. Step 2: Convert to fraction form
    3,102,124/4,656,468 = 4,656,468/x
  3. Step 3: Cross multiply
    3,102,124x = 4,656,468 × 4,656,468
  4. Step 4: Simplify right side
    3,102,124x = 21,682,694,235,024
  5. Step 5: Solve for x
    x = 21,682,694,235,024/3,102,124
  6. Step 6: Final answer
    x = 6,989,628.47

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