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Finding the Third Proportional to 715,844.25 and 1,543,772.25

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Solution

The third proportional to 715,844.25 and 1,543,772.25 is: 3,329,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,844.25 : 1,543,772.25 = 1,543,772.25 : x
  2. Step 2: Convert to fraction form
    715,844.25/1,543,772.25 = 1,543,772.25/x
  3. Step 3: Cross multiply
    715,844.25x = 1,543,772.25 × 1,543,772.25
  4. Step 4: Simplify right side
    715,844.25x = 2,383,232,759,870.06
  5. Step 5: Solve for x
    x = 2,383,232,759,870.06/715,844.25
  6. Step 6: Final answer
    x = 3,329,261.58

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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.