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Finding the Third Proportional to 699,998 and 1,049,781

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Solution

The third proportional to 699,998 and 1,049,781 is: 1,574,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,998 : 1,049,781 = 1,049,781 : x
  2. Step 2: Convert to fraction form
    699,998/1,049,781 = 1,049,781/x
  3. Step 3: Cross multiply
    699,998x = 1,049,781 × 1,049,781
  4. Step 4: Simplify right side
    699,998x = 1,102,040,147,961
  5. Step 5: Solve for x
    x = 1,102,040,147,961/699,998
  6. Step 6: Final answer
    x = 1,574,347.57

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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.