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Finding the Third Proportional to 1,837,137.38 and 3,989,749.50

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Solution

The third proportional to 1,837,137.38 and 3,989,749.50 is: 8,664,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,137.38 : 3,989,749.50 = 3,989,749.50 : x
  2. Step 2: Convert to fraction form
    1,837,137.38/3,989,749.50 = 3,989,749.50/x
  3. Step 3: Cross multiply
    1,837,137.38x = 3,989,749.50 × 3,989,749.50
  4. Step 4: Simplify right side
    1,837,137.38x = 15,918,101,072,750.25
  5. Step 5: Solve for x
    x = 15,918,101,072,750.25/1,837,137.38
  6. Step 6: Final answer
    x = 8,664,622.09

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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.