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Finding the Third Proportional to 2,649,420 and 4,202,116

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Solution

The third proportional to 2,649,420 and 4,202,116 is: 6,664,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,420 : 4,202,116 = 4,202,116 : x
  2. Step 2: Convert to fraction form
    2,649,420/4,202,116 = 4,202,116/x
  3. Step 3: Cross multiply
    2,649,420x = 4,202,116 × 4,202,116
  4. Step 4: Simplify right side
    2,649,420x = 17,657,778,877,456
  5. Step 5: Solve for x
    x = 17,657,778,877,456/2,649,420
  6. Step 6: Final answer
    x = 6,664,771.49

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