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Finding the Third Proportional to 1,683,945 and 3,690,798

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Solution

The third proportional to 1,683,945 and 3,690,798 is: 8,089,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,945 : 3,690,798 = 3,690,798 : x
  2. Step 2: Convert to fraction form
    1,683,945/3,690,798 = 3,690,798/x
  3. Step 3: Cross multiply
    1,683,945x = 3,690,798 × 3,690,798
  4. Step 4: Simplify right side
    1,683,945x = 13,621,989,876,804
  5. Step 5: Solve for x
    x = 13,621,989,876,804/1,683,945
  6. Step 6: Final answer
    x = 8,089,331.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.