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Finding the Third Proportional to 2,173,083.75 and 4,720,137.75

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Solution

The third proportional to 2,173,083.75 and 4,720,137.75 is: 10,252,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,083.75 : 4,720,137.75 = 4,720,137.75 : x
  2. Step 2: Convert to fraction form
    2,173,083.75/4,720,137.75 = 4,720,137.75/x
  3. Step 3: Cross multiply
    2,173,083.75x = 4,720,137.75 × 4,720,137.75
  4. Step 4: Simplify right side
    2,173,083.75x = 22,279,700,378,975.06
  5. Step 5: Solve for x
    x = 22,279,700,378,975.06/2,173,083.75
  6. Step 6: Final answer
    x = 10,252,573.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.