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Finding the Third Proportional to 789,998 and 1,193,299

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Solution

The third proportional to 789,998 and 1,193,299 is: 1,802,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,998 : 1,193,299 = 1,193,299 : x
  2. Step 2: Convert to fraction form
    789,998/1,193,299 = 1,193,299/x
  3. Step 3: Cross multiply
    789,998x = 1,193,299 × 1,193,299
  4. Step 4: Simplify right side
    789,998x = 1,423,962,503,401
  5. Step 5: Solve for x
    x = 1,423,962,503,401/789,998
  6. Step 6: Final answer
    x = 1,802,488.74

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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.