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Finding the Third Proportional to 3,408,642 and 5,426,439.50

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Solution

The third proportional to 3,408,642 and 5,426,439.50 is: 8,638,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408,642 : 5,426,439.50 = 5,426,439.50 : x
  2. Step 2: Convert to fraction form
    3,408,642/5,426,439.50 = 5,426,439.50/x
  3. Step 3: Cross multiply
    3,408,642x = 5,426,439.50 × 5,426,439.50
  4. Step 4: Simplify right side
    3,408,642x = 29,446,245,647,160.25
  5. Step 5: Solve for x
    x = 29,446,245,647,160.25/3,408,642
  6. Step 6: Final answer
    x = 8,638,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.