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Finding the Third Proportional to 3,082,272.75 and 4,835,000.25

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Solution

The third proportional to 3,082,272.75 and 4,835,000.25 is: 7,584,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082,272.75 : 4,835,000.25 = 4,835,000.25 : x
  2. Step 2: Convert to fraction form
    3,082,272.75/4,835,000.25 = 4,835,000.25/x
  3. Step 3: Cross multiply
    3,082,272.75x = 4,835,000.25 × 4,835,000.25
  4. Step 4: Simplify right side
    3,082,272.75x = 23,377,227,417,500.06
  5. Step 5: Solve for x
    x = 23,377,227,417,500.06/3,082,272.75
  6. Step 6: Final answer
    x = 7,584,412.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.