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Finding the Third Proportional to 1,705,012.50 and 3,675,945

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Solution

The third proportional to 1,705,012.50 and 3,675,945 is: 7,925,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,012.50 : 3,675,945 = 3,675,945 : x
  2. Step 2: Convert to fraction form
    1,705,012.50/3,675,945 = 3,675,945/x
  3. Step 3: Cross multiply
    1,705,012.50x = 3,675,945 × 3,675,945
  4. Step 4: Simplify right side
    1,705,012.50x = 13,512,571,643,025
  5. Step 5: Solve for x
    x = 13,512,571,643,025/1,705,012.50
  6. Step 6: Final answer
    x = 7,925,203.86

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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.