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Finding the Third Proportional to 1,161,735.75 and 2,530,159.88

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Solution

The third proportional to 1,161,735.75 and 2,530,159.88 is: 5,510,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,735.75 : 2,530,159.88 = 2,530,159.88 : x
  2. Step 2: Convert to fraction form
    1,161,735.75/2,530,159.88 = 2,530,159.88/x
  3. Step 3: Cross multiply
    1,161,735.75x = 2,530,159.88 × 2,530,159.88
  4. Step 4: Simplify right side
    1,161,735.75x = 6,401,708,993,060.02
  5. Step 5: Solve for x
    x = 6,401,708,993,060.02/1,161,735.75
  6. Step 6: Final answer
    x = 5,510,469.13

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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.