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Finding the Third Proportional to 1,996,801.03 and 4,373,694.14

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Solution

The third proportional to 1,996,801.03 and 4,373,694.14 is: 9,579,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,801.03 : 4,373,694.14 = 4,373,694.14 : x
  2. Step 2: Convert to fraction form
    1,996,801.03/4,373,694.14 = 4,373,694.14/x
  3. Step 3: Cross multiply
    1,996,801.03x = 4,373,694.14 × 4,373,694.14
  4. Step 4: Simplify right side
    1,996,801.03x = 19,129,200,435,737.46
  5. Step 5: Solve for x
    x = 19,129,200,435,737.46/1,996,801.03
  6. Step 6: Final answer
    x = 9,579,923.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.