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Finding the Third Proportional to 1,683,720 and 3,693,411

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Solution

The third proportional to 1,683,720 and 3,693,411 is: 8,101,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,720 : 3,693,411 = 3,693,411 : x
  2. Step 2: Convert to fraction form
    1,683,720/3,693,411 = 3,693,411/x
  3. Step 3: Cross multiply
    1,683,720x = 3,693,411 × 3,693,411
  4. Step 4: Simplify right side
    1,683,720x = 13,641,284,814,921
  5. Step 5: Solve for x
    x = 13,641,284,814,921/1,683,720
  6. Step 6: Final answer
    x = 8,101,872.53

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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.