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Finding the Third Proportional to 2,024,569.69 and 3,104,507.25

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Solution

The third proportional to 2,024,569.69 and 3,104,507.25 is: 4,760,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,569.69 : 3,104,507.25 = 3,104,507.25 : x
  2. Step 2: Convert to fraction form
    2,024,569.69/3,104,507.25 = 3,104,507.25/x
  3. Step 3: Cross multiply
    2,024,569.69x = 3,104,507.25 × 3,104,507.25
  4. Step 4: Simplify right side
    2,024,569.69x = 9,637,965,265,302.56
  5. Step 5: Solve for x
    x = 9,637,965,265,302.56/2,024,569.69
  6. Step 6: Final answer
    x = 4,760,500.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.