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Finding the Third Proportional to 1,286,136 and 1,892,024

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Solution

The third proportional to 1,286,136 and 1,892,024 is: 2,783,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,136 : 1,892,024 = 1,892,024 : x
  2. Step 2: Convert to fraction form
    1,286,136/1,892,024 = 1,892,024/x
  3. Step 3: Cross multiply
    1,286,136x = 1,892,024 × 1,892,024
  4. Step 4: Simplify right side
    1,286,136x = 3,579,754,816,576
  5. Step 5: Solve for x
    x = 3,579,754,816,576/1,286,136
  6. Step 6: Final answer
    x = 2,783,340.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.