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Finding the Third Proportional to 579,306 and 1,211,578

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Solution

The third proportional to 579,306 and 1,211,578 is: 2,533,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,306 : 1,211,578 = 1,211,578 : x
  2. Step 2: Convert to fraction form
    579,306/1,211,578 = 1,211,578/x
  3. Step 3: Cross multiply
    579,306x = 1,211,578 × 1,211,578
  4. Step 4: Simplify right side
    579,306x = 1,467,921,250,084
  5. Step 5: Solve for x
    x = 1,467,921,250,084/579,306
  6. Step 6: Final answer
    x = 2,533,930.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.