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Finding the Third Proportional to 579,546 and 1,222,020

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Solution

The third proportional to 579,546 and 1,222,020 is: 2,576,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,546 : 1,222,020 = 1,222,020 : x
  2. Step 2: Convert to fraction form
    579,546/1,222,020 = 1,222,020/x
  3. Step 3: Cross multiply
    579,546x = 1,222,020 × 1,222,020
  4. Step 4: Simplify right side
    579,546x = 1,493,332,880,400
  5. Step 5: Solve for x
    x = 1,493,332,880,400/579,546
  6. Step 6: Final answer
    x = 2,576,728.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.