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Finding the Third Proportional to 707,682 and 1,040,643

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Solution

The third proportional to 707,682 and 1,040,643 is: 1,530,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,682 : 1,040,643 = 1,040,643 : x
  2. Step 2: Convert to fraction form
    707,682/1,040,643 = 1,040,643/x
  3. Step 3: Cross multiply
    707,682x = 1,040,643 × 1,040,643
  4. Step 4: Simplify right side
    707,682x = 1,082,937,853,449
  5. Step 5: Solve for x
    x = 1,082,937,853,449/707,682
  6. Step 6: Final answer
    x = 1,530,260.56

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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.