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Finding the Third Proportional to 1,505,576 and 3,247,564

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Solution

The third proportional to 1,505,576 and 3,247,564 is: 7,005,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,576 : 3,247,564 = 3,247,564 : x
  2. Step 2: Convert to fraction form
    1,505,576/3,247,564 = 3,247,564/x
  3. Step 3: Cross multiply
    1,505,576x = 3,247,564 × 3,247,564
  4. Step 4: Simplify right side
    1,505,576x = 10,546,671,934,096
  5. Step 5: Solve for x
    x = 10,546,671,934,096/1,505,576
  6. Step 6: Final answer
    x = 7,005,074.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.