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Finding the Third Proportional to 3,102,122 and 4,656,462

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Solution

The third proportional to 3,102,122 and 4,656,462 is: 6,989,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,122 : 4,656,462 = 4,656,462 : x
  2. Step 2: Convert to fraction form
    3,102,122/4,656,462 = 4,656,462/x
  3. Step 3: Cross multiply
    3,102,122x = 4,656,462 × 4,656,462
  4. Step 4: Simplify right side
    3,102,122x = 21,682,638,357,444
  5. Step 5: Solve for x
    x = 21,682,638,357,444/3,102,122
  6. Step 6: Final answer
    x = 6,989,614.97

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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.