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Finding the Third Proportional to 687,204 and 1,040,310

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Solution

The third proportional to 687,204 and 1,040,310 is: 1,574,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,204 : 1,040,310 = 1,040,310 : x
  2. Step 2: Convert to fraction form
    687,204/1,040,310 = 1,040,310/x
  3. Step 3: Cross multiply
    687,204x = 1,040,310 × 1,040,310
  4. Step 4: Simplify right side
    687,204x = 1,082,244,896,100
  5. Step 5: Solve for x
    x = 1,082,244,896,100/687,204
  6. Step 6: Final answer
    x = 1,574,852.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.