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Finding the Third Proportional to 617,599.69 and 1,313,931.38

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Solution

The third proportional to 617,599.69 and 1,313,931.38 is: 2,795,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,599.69 : 1,313,931.38 = 1,313,931.38 : x
  2. Step 2: Convert to fraction form
    617,599.69/1,313,931.38 = 1,313,931.38/x
  3. Step 3: Cross multiply
    617,599.69x = 1,313,931.38 × 1,313,931.38
  4. Step 4: Simplify right side
    617,599.69x = 1,726,415,658,209.39
  5. Step 5: Solve for x
    x = 1,726,415,658,209.39/617,599.69
  6. Step 6: Final answer
    x = 2,795,363.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.