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Finding the Third Proportional to 1,942,043.19 and 2,940,052.02

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Solution

The third proportional to 1,942,043.19 and 2,940,052.02 is: 4,450,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,043.19 : 2,940,052.02 = 2,940,052.02 : x
  2. Step 2: Convert to fraction form
    1,942,043.19/2,940,052.02 = 2,940,052.02/x
  3. Step 3: Cross multiply
    1,942,043.19x = 2,940,052.02 × 2,940,052.02
  4. Step 4: Simplify right side
    1,942,043.19x = 8,643,905,860,323.14
  5. Step 5: Solve for x
    x = 8,643,905,860,323.14/1,942,043.19
  6. Step 6: Final answer
    x = 4,450,933.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.