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Finding the Third Proportional to 1,640,850.75 and 3,544,605

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Solution

The third proportional to 1,640,850.75 and 3,544,605 is: 7,657,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,850.75 : 3,544,605 = 3,544,605 : x
  2. Step 2: Convert to fraction form
    1,640,850.75/3,544,605 = 3,544,605/x
  3. Step 3: Cross multiply
    1,640,850.75x = 3,544,605 × 3,544,605
  4. Step 4: Simplify right side
    1,640,850.75x = 12,564,224,606,025
  5. Step 5: Solve for x
    x = 12,564,224,606,025/1,640,850.75
  6. Step 6: Final answer
    x = 7,657,140.42

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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.