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Finding the Third Proportional to 414,849 and 904,781

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Solution

The third proportional to 414,849 and 904,781 is: 1,973,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,849 : 904,781 = 904,781 : x
  2. Step 2: Convert to fraction form
    414,849/904,781 = 904,781/x
  3. Step 3: Cross multiply
    414,849x = 904,781 × 904,781
  4. Step 4: Simplify right side
    414,849x = 818,628,657,961
  5. Step 5: Solve for x
    x = 818,628,657,961/414,849
  6. Step 6: Final answer
    x = 1,973,317.18

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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.