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Finding the Third Proportional to 681,994 and 993,006

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Solution

The third proportional to 681,994 and 993,006 is: 1,445,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,994 : 993,006 = 993,006 : x
  2. Step 2: Convert to fraction form
    681,994/993,006 = 993,006/x
  3. Step 3: Cross multiply
    681,994x = 993,006 × 993,006
  4. Step 4: Simplify right side
    681,994x = 986,060,916,036
  5. Step 5: Solve for x
    x = 986,060,916,036/681,994
  6. Step 6: Final answer
    x = 1,445,849.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.