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Finding the Third Proportional to 1,743,408 and 2,641,194

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Solution

The third proportional to 1,743,408 and 2,641,194 is: 4,001,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,408 : 2,641,194 = 2,641,194 : x
  2. Step 2: Convert to fraction form
    1,743,408/2,641,194 = 2,641,194/x
  3. Step 3: Cross multiply
    1,743,408x = 2,641,194 × 2,641,194
  4. Step 4: Simplify right side
    1,743,408x = 6,975,905,745,636
  5. Step 5: Solve for x
    x = 6,975,905,745,636/1,743,408
  6. Step 6: Final answer
    x = 4,001,304.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.