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Finding the Third Proportional to 3,420,702 and 4,607,451.50

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Solution

The third proportional to 3,420,702 and 4,607,451.50 is: 6,205,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420,702 : 4,607,451.50 = 4,607,451.50 : x
  2. Step 2: Convert to fraction form
    3,420,702/4,607,451.50 = 4,607,451.50/x
  3. Step 3: Cross multiply
    3,420,702x = 4,607,451.50 × 4,607,451.50
  4. Step 4: Simplify right side
    3,420,702x = 21,228,609,324,852.25
  5. Step 5: Solve for x
    x = 21,228,609,324,852.25/3,420,702
  6. Step 6: Final answer
    x = 6,205,921.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.