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Finding the Third Proportional to 707,652 and 1,040,598

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Solution

The third proportional to 707,652 and 1,040,598 is: 1,530,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,652 : 1,040,598 = 1,040,598 : x
  2. Step 2: Convert to fraction form
    707,652/1,040,598 = 1,040,598/x
  3. Step 3: Cross multiply
    707,652x = 1,040,598 × 1,040,598
  4. Step 4: Simplify right side
    707,652x = 1,082,844,197,604
  5. Step 5: Solve for x
    x = 1,082,844,197,604/707,652
  6. Step 6: Final answer
    x = 1,530,193.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.