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Finding the Third Proportional to 1,524,832 and 2,242,896

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Solution

The third proportional to 1,524,832 and 2,242,896 is: 3,299,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,832 : 2,242,896 = 2,242,896 : x
  2. Step 2: Convert to fraction form
    1,524,832/2,242,896 = 2,242,896/x
  3. Step 3: Cross multiply
    1,524,832x = 2,242,896 × 2,242,896
  4. Step 4: Simplify right side
    1,524,832x = 5,030,582,466,816
  5. Step 5: Solve for x
    x = 5,030,582,466,816/1,524,832
  6. Step 6: Final answer
    x = 3,299,106.04

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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.