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Finding the Third Proportional to 414,852 and 904,788

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Solution

The third proportional to 414,852 and 904,788 is: 1,973,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,852 : 904,788 = 904,788 : x
  2. Step 2: Convert to fraction form
    414,852/904,788 = 904,788/x
  3. Step 3: Cross multiply
    414,852x = 904,788 × 904,788
  4. Step 4: Simplify right side
    414,852x = 818,641,324,944
  5. Step 5: Solve for x
    x = 818,641,324,944/414,852
  6. Step 6: Final answer
    x = 1,973,333.44

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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.