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Finding the Third Proportional to 1,743,181 and 3,766,460

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Solution

The third proportional to 1,743,181 and 3,766,460 is: 8,138,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,181 : 3,766,460 = 3,766,460 : x
  2. Step 2: Convert to fraction form
    1,743,181/3,766,460 = 3,766,460/x
  3. Step 3: Cross multiply
    1,743,181x = 3,766,460 × 3,766,460
  4. Step 4: Simplify right side
    1,743,181x = 14,186,220,931,600
  5. Step 5: Solve for x
    x = 14,186,220,931,600/1,743,181
  6. Step 6: Final answer
    x = 8,138,122.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.