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Finding the Third Proportional to 584,923 and 1,256,894

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Solution

The third proportional to 584,923 and 1,256,894 is: 2,700,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,923 : 1,256,894 = 1,256,894 : x
  2. Step 2: Convert to fraction form
    584,923/1,256,894 = 1,256,894/x
  3. Step 3: Cross multiply
    584,923x = 1,256,894 × 1,256,894
  4. Step 4: Simplify right side
    584,923x = 1,579,782,527,236
  5. Step 5: Solve for x
    x = 1,579,782,527,236/584,923
  6. Step 6: Final answer
    x = 2,700,838.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.