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Finding the Third Proportional to 1,533,020 and 3,224,800

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Solution

The third proportional to 1,533,020 and 3,224,800 is: 6,783,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,020 : 3,224,800 = 3,224,800 : x
  2. Step 2: Convert to fraction form
    1,533,020/3,224,800 = 3,224,800/x
  3. Step 3: Cross multiply
    1,533,020x = 3,224,800 × 3,224,800
  4. Step 4: Simplify right side
    1,533,020x = 10,399,335,040,000
  5. Step 5: Solve for x
    x = 10,399,335,040,000/1,533,020
  6. Step 6: Final answer
    x = 6,783,561.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.