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Finding the Third Proportional to 414,857 and 904,798

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Solution

The third proportional to 414,857 and 904,798 is: 1,973,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,857 : 904,798 = 904,798 : x
  2. Step 2: Convert to fraction form
    414,857/904,798 = 904,798/x
  3. Step 3: Cross multiply
    414,857x = 904,798 × 904,798
  4. Step 4: Simplify right side
    414,857x = 818,659,420,804
  5. Step 5: Solve for x
    x = 818,659,420,804/414,857
  6. Step 6: Final answer
    x = 1,973,353.28

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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.