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Finding the Third Proportional to 1,404,064 and 2,738,144

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Solution

The third proportional to 1,404,064 and 2,738,144 is: 5,339,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404,064 : 2,738,144 = 2,738,144 : x
  2. Step 2: Convert to fraction form
    1,404,064/2,738,144 = 2,738,144/x
  3. Step 3: Cross multiply
    1,404,064x = 2,738,144 × 2,738,144
  4. Step 4: Simplify right side
    1,404,064x = 7,497,432,564,736
  5. Step 5: Solve for x
    x = 7,497,432,564,736/1,404,064
  6. Step 6: Final answer
    x = 5,339,808.27

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.