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Finding the Third Proportional to 1,198,509.75 and 2,574,894.75

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Solution

The third proportional to 1,198,509.75 and 2,574,894.75 is: 5,531,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,509.75 : 2,574,894.75 = 2,574,894.75 : x
  2. Step 2: Convert to fraction form
    1,198,509.75/2,574,894.75 = 2,574,894.75/x
  3. Step 3: Cross multiply
    1,198,509.75x = 2,574,894.75 × 2,574,894.75
  4. Step 4: Simplify right side
    1,198,509.75x = 6,630,082,973,577.56
  5. Step 5: Solve for x
    x = 6,630,082,973,577.56/1,198,509.75
  6. Step 6: Final answer
    x = 5,531,939.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.