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Finding the Third Proportional to 438,578 and 956,356

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Solution

The third proportional to 438,578 and 956,356 is: 2,085,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,578 : 956,356 = 956,356 : x
  2. Step 2: Convert to fraction form
    438,578/956,356 = 956,356/x
  3. Step 3: Cross multiply
    438,578x = 956,356 × 956,356
  4. Step 4: Simplify right side
    438,578x = 914,616,798,736
  5. Step 5: Solve for x
    x = 914,616,798,736/438,578
  6. Step 6: Final answer
    x = 2,085,414.22

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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.