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Finding the Third Proportional to 1,683,948 and 3,690,804

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Solution

The third proportional to 1,683,948 and 3,690,804 is: 8,089,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,948 : 3,690,804 = 3,690,804 : x
  2. Step 2: Convert to fraction form
    1,683,948/3,690,804 = 3,690,804/x
  3. Step 3: Cross multiply
    1,683,948x = 3,690,804 × 3,690,804
  4. Step 4: Simplify right side
    1,683,948x = 13,622,034,166,416
  5. Step 5: Solve for x
    x = 13,622,034,166,416/1,683,948
  6. Step 6: Final answer
    x = 8,089,343.71

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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.