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Finding the Third Proportional to 705,969 and 1,453,718.25

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Solution

The third proportional to 705,969 and 1,453,718.25 is: 2,993,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,969 : 1,453,718.25 = 1,453,718.25 : x
  2. Step 2: Convert to fraction form
    705,969/1,453,718.25 = 1,453,718.25/x
  3. Step 3: Cross multiply
    705,969x = 1,453,718.25 × 1,453,718.25
  4. Step 4: Simplify right side
    705,969x = 2,113,296,750,383.06
  5. Step 5: Solve for x
    x = 2,113,296,750,383.06/705,969
  6. Step 6: Final answer
    x = 2,993,469.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.