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Finding the Third Proportional to 707,454.75 and 1,526,945

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Solution

The third proportional to 707,454.75 and 1,526,945 is: 3,295,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,454.75 : 1,526,945 = 1,526,945 : x
  2. Step 2: Convert to fraction form
    707,454.75/1,526,945 = 1,526,945/x
  3. Step 3: Cross multiply
    707,454.75x = 1,526,945 × 1,526,945
  4. Step 4: Simplify right side
    707,454.75x = 2,331,561,033,025
  5. Step 5: Solve for x
    x = 2,331,561,033,025/707,454.75
  6. Step 6: Final answer
    x = 3,295,703.41

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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.