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Finding the Third Proportional to 1,403,728 and 2,096,235

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Solution

The third proportional to 1,403,728 and 2,096,235 is: 3,130,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,728 : 2,096,235 = 2,096,235 : x
  2. Step 2: Convert to fraction form
    1,403,728/2,096,235 = 2,096,235/x
  3. Step 3: Cross multiply
    1,403,728x = 2,096,235 × 2,096,235
  4. Step 4: Simplify right side
    1,403,728x = 4,394,201,175,225
  5. Step 5: Solve for x
    x = 4,394,201,175,225/1,403,728
  6. Step 6: Final answer
    x = 3,130,379.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.