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Finding the Third Proportional to 4,190,220 and 6,407,164

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Solution

The third proportional to 4,190,220 and 6,407,164 is: 9,797,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,220 : 6,407,164 = 6,407,164 : x
  2. Step 2: Convert to fraction form
    4,190,220/6,407,164 = 6,407,164/x
  3. Step 3: Cross multiply
    4,190,220x = 6,407,164 × 6,407,164
  4. Step 4: Simplify right side
    4,190,220x = 41,051,750,522,896
  5. Step 5: Solve for x
    x = 41,051,750,522,896/4,190,220
  6. Step 6: Final answer
    x = 9,797,039.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.