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Finding the Third Proportional to 1,201,968 and 1,799,136

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Solution

The third proportional to 1,201,968 and 1,799,136 is: 2,692,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,968 : 1,799,136 = 1,799,136 : x
  2. Step 2: Convert to fraction form
    1,201,968/1,799,136 = 1,799,136/x
  3. Step 3: Cross multiply
    1,201,968x = 1,799,136 × 1,799,136
  4. Step 4: Simplify right side
    1,201,968x = 3,236,890,346,496
  5. Step 5: Solve for x
    x = 3,236,890,346,496/1,201,968
  6. Step 6: Final answer
    x = 2,692,992.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.