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Finding the Third Proportional to 792,998 and 1,189,740

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Solution

The third proportional to 792,998 and 1,189,740 is: 1,784,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,998 : 1,189,740 = 1,189,740 : x
  2. Step 2: Convert to fraction form
    792,998/1,189,740 = 1,189,740/x
  3. Step 3: Cross multiply
    792,998x = 1,189,740 × 1,189,740
  4. Step 4: Simplify right side
    792,998x = 1,415,481,267,600
  5. Step 5: Solve for x
    x = 1,415,481,267,600/792,998
  6. Step 6: Final answer
    x = 1,784,974.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.