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Finding the Third Proportional to 1,763,643.38 and 2,638,600.31

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Solution

The third proportional to 1,763,643.38 and 2,638,600.31 is: 3,947,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,643.38 : 2,638,600.31 = 2,638,600.31 : x
  2. Step 2: Convert to fraction form
    1,763,643.38/2,638,600.31 = 2,638,600.31/x
  3. Step 3: Cross multiply
    1,763,643.38x = 2,638,600.31 × 2,638,600.31
  4. Step 4: Simplify right side
    1,763,643.38x = 6,962,211,609,125.10
  5. Step 5: Solve for x
    x = 6,962,211,609,125.10/1,763,643.38
  6. Step 6: Final answer
    x = 3,947,630.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.