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Finding the Third Proportional to 414,855 and 904,794

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Solution

The third proportional to 414,855 and 904,794 is: 1,973,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,855 : 904,794 = 904,794 : x
  2. Step 2: Convert to fraction form
    414,855/904,794 = 904,794/x
  3. Step 3: Cross multiply
    414,855x = 904,794 × 904,794
  4. Step 4: Simplify right side
    414,855x = 818,652,182,436
  5. Step 5: Solve for x
    x = 818,652,182,436/414,855
  6. Step 6: Final answer
    x = 1,973,345.34

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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.