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Finding the Third Proportional to 1,001,235.94 and 1,591,896.80

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Solution

The third proportional to 1,001,235.94 and 1,591,896.80 is: 2,531,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,235.94 : 1,591,896.80 = 1,591,896.80 : x
  2. Step 2: Convert to fraction form
    1,001,235.94/1,591,896.80 = 1,591,896.80/x
  3. Step 3: Cross multiply
    1,001,235.94x = 1,591,896.80 × 1,591,896.80
  4. Step 4: Simplify right side
    1,001,235.94x = 2,534,135,411,900.88
  5. Step 5: Solve for x
    x = 2,534,135,411,900.88/1,001,235.94
  6. Step 6: Final answer
    x = 2,531,007.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.