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Finding the Third Proportional to 414,696 and 894,768

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Solution

The third proportional to 414,696 and 894,768 is: 1,930,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,696 : 894,768 = 894,768 : x
  2. Step 2: Convert to fraction form
    414,696/894,768 = 894,768/x
  3. Step 3: Cross multiply
    414,696x = 894,768 × 894,768
  4. Step 4: Simplify right side
    414,696x = 800,609,773,824
  5. Step 5: Solve for x
    x = 800,609,773,824/414,696
  6. Step 6: Final answer
    x = 1,930,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.