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Finding the Third Proportional to 2,508,080 and 3,585,144

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Solution

The third proportional to 2,508,080 and 3,585,144 is: 5,124,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508,080 : 3,585,144 = 3,585,144 : x
  2. Step 2: Convert to fraction form
    2,508,080/3,585,144 = 3,585,144/x
  3. Step 3: Cross multiply
    2,508,080x = 3,585,144 × 3,585,144
  4. Step 4: Simplify right side
    2,508,080x = 12,853,257,500,736
  5. Step 5: Solve for x
    x = 12,853,257,500,736/2,508,080
  6. Step 6: Final answer
    x = 5,124,739.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.