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Finding the Third Proportional to 1,968,772.50 and 3,084,399

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Solution

The third proportional to 1,968,772.50 and 3,084,399 is: 4,832,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,772.50 : 3,084,399 = 3,084,399 : x
  2. Step 2: Convert to fraction form
    1,968,772.50/3,084,399 = 3,084,399/x
  3. Step 3: Cross multiply
    1,968,772.50x = 3,084,399 × 3,084,399
  4. Step 4: Simplify right side
    1,968,772.50x = 9,513,517,191,201
  5. Step 5: Solve for x
    x = 9,513,517,191,201/1,968,772.50
  6. Step 6: Final answer
    x = 4,832,207.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.