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Finding the Third Proportional to 934,786.13 and 2,033,356.50

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Solution

The third proportional to 934,786.13 and 2,033,356.50 is: 4,422,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,786.13 : 2,033,356.50 = 2,033,356.50 : x
  2. Step 2: Convert to fraction form
    934,786.13/2,033,356.50 = 2,033,356.50/x
  3. Step 3: Cross multiply
    934,786.13x = 2,033,356.50 × 2,033,356.50
  4. Step 4: Simplify right side
    934,786.13x = 4,134,538,656,092.25
  5. Step 5: Solve for x
    x = 4,134,538,656,092.25/934,786.13
  6. Step 6: Final answer
    x = 4,422,978.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.