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Finding the Third Proportional to 617,754.73 and 1,335,441.30

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Solution

The third proportional to 617,754.73 and 1,335,441.30 is: 2,886,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,754.73 : 1,335,441.30 = 1,335,441.30 : x
  2. Step 2: Convert to fraction form
    617,754.73/1,335,441.30 = 1,335,441.30/x
  3. Step 3: Cross multiply
    617,754.73x = 1,335,441.30 × 1,335,441.30
  4. Step 4: Simplify right side
    617,754.73x = 1,783,403,478,265.45
  5. Step 5: Solve for x
    x = 1,783,403,478,265.45/617,754.73
  6. Step 6: Final answer
    x = 2,886,911.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.