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Finding the Third Proportional to 567,934 and 1,238,656

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Solution

The third proportional to 567,934 and 1,238,656 is: 2,701,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,934 : 1,238,656 = 1,238,656 : x
  2. Step 2: Convert to fraction form
    567,934/1,238,656 = 1,238,656/x
  3. Step 3: Cross multiply
    567,934x = 1,238,656 × 1,238,656
  4. Step 4: Simplify right side
    567,934x = 1,534,268,686,336
  5. Step 5: Solve for x
    x = 1,534,268,686,336/567,934
  6. Step 6: Final answer
    x = 2,701,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.