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Finding the Third Proportional to 2,505,120 and 5,584,000

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Solution

The third proportional to 2,505,120 and 5,584,000 is: 12,446,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,120 : 5,584,000 = 5,584,000 : x
  2. Step 2: Convert to fraction form
    2,505,120/5,584,000 = 5,584,000/x
  3. Step 3: Cross multiply
    2,505,120x = 5,584,000 × 5,584,000
  4. Step 4: Simplify right side
    2,505,120x = 31,181,056,000,000
  5. Step 5: Solve for x
    x = 31,181,056,000,000/2,505,120
  6. Step 6: Final answer
    x = 12,446,931.09

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.