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Finding the Third Proportional to 578,504 and 1,256,513

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Solution

The third proportional to 578,504 and 1,256,513 is: 2,729,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,504 : 1,256,513 = 1,256,513 : x
  2. Step 2: Convert to fraction form
    578,504/1,256,513 = 1,256,513/x
  3. Step 3: Cross multiply
    578,504x = 1,256,513 × 1,256,513
  4. Step 4: Simplify right side
    578,504x = 1,578,824,919,169
  5. Step 5: Solve for x
    x = 1,578,824,919,169/578,504
  6. Step 6: Final answer
    x = 2,729,151.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.