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Finding the Third Proportional to 1,540,513.69 and 2,397,960.07

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Solution

The third proportional to 1,540,513.69 and 2,397,960.07 is: 3,732,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,513.69 : 2,397,960.07 = 2,397,960.07 : x
  2. Step 2: Convert to fraction form
    1,540,513.69/2,397,960.07 = 2,397,960.07/x
  3. Step 3: Cross multiply
    1,540,513.69x = 2,397,960.07 × 2,397,960.07
  4. Step 4: Simplify right side
    1,540,513.69x = 5,750,212,498,813.13
  5. Step 5: Solve for x
    x = 5,750,212,498,813.13/1,540,513.69
  6. Step 6: Final answer
    x = 3,732,659.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.