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Finding the Third Proportional to 1,729,649 and 3,683,803

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Solution

The third proportional to 1,729,649 and 3,683,803 is: 7,845,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,649 : 3,683,803 = 3,683,803 : x
  2. Step 2: Convert to fraction form
    1,729,649/3,683,803 = 3,683,803/x
  3. Step 3: Cross multiply
    1,729,649x = 3,683,803 × 3,683,803
  4. Step 4: Simplify right side
    1,729,649x = 13,570,404,542,809
  5. Step 5: Solve for x
    x = 13,570,404,542,809/1,729,649
  6. Step 6: Final answer
    x = 7,845,756.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.