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Finding the Third Proportional to 405,768 and 894,504

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Solution

The third proportional to 405,768 and 894,504 is: 1,971,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,768 : 894,504 = 894,504 : x
  2. Step 2: Convert to fraction form
    405,768/894,504 = 894,504/x
  3. Step 3: Cross multiply
    405,768x = 894,504 × 894,504
  4. Step 4: Simplify right side
    405,768x = 800,137,406,016
  5. Step 5: Solve for x
    x = 800,137,406,016/405,768
  6. Step 6: Final answer
    x = 1,971,908.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.