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Finding the Third Proportional to 414,333 and 902,472

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Solution

The third proportional to 414,333 and 902,472 is: 1,965,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,333 : 902,472 = 902,472 : x
  2. Step 2: Convert to fraction form
    414,333/902,472 = 902,472/x
  3. Step 3: Cross multiply
    414,333x = 902,472 × 902,472
  4. Step 4: Simplify right side
    414,333x = 814,455,710,784
  5. Step 5: Solve for x
    x = 814,455,710,784/414,333
  6. Step 6: Final answer
    x = 1,965,703.22

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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.