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Finding the Third Proportional to 568,238 and 946,942

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Solution

The third proportional to 568,238 and 946,942 is: 1,578,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,238 : 946,942 = 946,942 : x
  2. Step 2: Convert to fraction form
    568,238/946,942 = 946,942/x
  3. Step 3: Cross multiply
    568,238x = 946,942 × 946,942
  4. Step 4: Simplify right side
    568,238x = 896,699,151,364
  5. Step 5: Solve for x
    x = 896,699,151,364/568,238
  6. Step 6: Final answer
    x = 1,578,034.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.