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Finding the Third Proportional to 407,856 and 894,504

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Solution

The third proportional to 407,856 and 894,504 is: 1,961,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,856 : 894,504 = 894,504 : x
  2. Step 2: Convert to fraction form
    407,856/894,504 = 894,504/x
  3. Step 3: Cross multiply
    407,856x = 894,504 × 894,504
  4. Step 4: Simplify right side
    407,856x = 800,137,406,016
  5. Step 5: Solve for x
    x = 800,137,406,016/407,856
  6. Step 6: Final answer
    x = 1,961,813.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.