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Finding the Third Proportional to 1,744,136 and 3,740,446

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Solution

The third proportional to 1,744,136 and 3,740,446 is: 8,021,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,136 : 3,740,446 = 3,740,446 : x
  2. Step 2: Convert to fraction form
    1,744,136/3,740,446 = 3,740,446/x
  3. Step 3: Cross multiply
    1,744,136x = 3,740,446 × 3,740,446
  4. Step 4: Simplify right side
    1,744,136x = 13,990,936,278,916
  5. Step 5: Solve for x
    x = 13,990,936,278,916/1,744,136
  6. Step 6: Final answer
    x = 8,021,700.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.