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Finding the Third Proportional to 1,840,361.34 and 2,810,364.61

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Solution

The third proportional to 1,840,361.34 and 2,810,364.61 is: 4,291,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,361.34 : 2,810,364.61 = 2,810,364.61 : x
  2. Step 2: Convert to fraction form
    1,840,361.34/2,810,364.61 = 2,810,364.61/x
  3. Step 3: Cross multiply
    1,840,361.34x = 2,810,364.61 × 2,810,364.61
  4. Step 4: Simplify right side
    1,840,361.34x = 7,898,149,237,627.50
  5. Step 5: Solve for x
    x = 7,898,149,237,627.50/1,840,361.34
  6. Step 6: Final answer
    x = 4,291,629.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.