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Finding the Third Proportional to 1,335,509 and 3,149,450

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Solution

The third proportional to 1,335,509 and 3,149,450 is: 7,427,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,509 : 3,149,450 = 3,149,450 : x
  2. Step 2: Convert to fraction form
    1,335,509/3,149,450 = 3,149,450/x
  3. Step 3: Cross multiply
    1,335,509x = 3,149,450 × 3,149,450
  4. Step 4: Simplify right side
    1,335,509x = 9,919,035,302,500
  5. Step 5: Solve for x
    x = 9,919,035,302,500/1,335,509
  6. Step 6: Final answer
    x = 7,427,157.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.