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Finding the Third Proportional to 945,816 and 2,057,520

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Solution

The third proportional to 945,816 and 2,057,520 is: 4,475,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,816 : 2,057,520 = 2,057,520 : x
  2. Step 2: Convert to fraction form
    945,816/2,057,520 = 2,057,520/x
  3. Step 3: Cross multiply
    945,816x = 2,057,520 × 2,057,520
  4. Step 4: Simplify right side
    945,816x = 4,233,388,550,400
  5. Step 5: Solve for x
    x = 4,233,388,550,400/945,816
  6. Step 6: Final answer
    x = 4,475,911.33

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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.