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Finding the Third Proportional to 1,284,445.75 and 2,795,004.75

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Solution

The third proportional to 1,284,445.75 and 2,795,004.75 is: 6,082,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,445.75 : 2,795,004.75 = 2,795,004.75 : x
  2. Step 2: Convert to fraction form
    1,284,445.75/2,795,004.75 = 2,795,004.75/x
  3. Step 3: Cross multiply
    1,284,445.75x = 2,795,004.75 × 2,795,004.75
  4. Step 4: Simplify right side
    1,284,445.75x = 7,812,051,552,522.56
  5. Step 5: Solve for x
    x = 7,812,051,552,522.56/1,284,445.75
  6. Step 6: Final answer
    x = 6,082,040.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.