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Finding the Third Proportional to 1,738,822.15 and 3,716,938.34

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Solution

The third proportional to 1,738,822.15 and 3,716,938.34 is: 7,945,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,822.15 : 3,716,938.34 = 3,716,938.34 : x
  2. Step 2: Convert to fraction form
    1,738,822.15/3,716,938.34 = 3,716,938.34/x
  3. Step 3: Cross multiply
    1,738,822.15x = 3,716,938.34 × 3,716,938.34
  4. Step 4: Simplify right side
    1,738,822.15x = 13,815,630,593,161.83
  5. Step 5: Solve for x
    x = 13,815,630,593,161.83/1,738,822.15
  6. Step 6: Final answer
    x = 7,945,396.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.