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Finding the Third Proportional to 945,808 and 2,057,504

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Solution

The third proportional to 945,808 and 2,057,504 is: 4,475,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,808 : 2,057,504 = 2,057,504 : x
  2. Step 2: Convert to fraction form
    945,808/2,057,504 = 2,057,504/x
  3. Step 3: Cross multiply
    945,808x = 2,057,504 × 2,057,504
  4. Step 4: Simplify right side
    945,808x = 4,233,322,710,016
  5. Step 5: Solve for x
    x = 4,233,322,710,016/945,808
  6. Step 6: Final answer
    x = 4,475,879.58

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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.