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Finding the Third Proportional to 700,504 and 1,109,401

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Solution

The third proportional to 700,504 and 1,109,401 is: 1,756,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,504 : 1,109,401 = 1,109,401 : x
  2. Step 2: Convert to fraction form
    700,504/1,109,401 = 1,109,401/x
  3. Step 3: Cross multiply
    700,504x = 1,109,401 × 1,109,401
  4. Step 4: Simplify right side
    700,504x = 1,230,770,578,801
  5. Step 5: Solve for x
    x = 1,230,770,578,801/700,504
  6. Step 6: Final answer
    x = 1,756,978.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.