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Finding the Third Proportional to 693,504 and 1,433,520

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Solution

The third proportional to 693,504 and 1,433,520 is: 2,963,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,504 : 1,433,520 = 1,433,520 : x
  2. Step 2: Convert to fraction form
    693,504/1,433,520 = 1,433,520/x
  3. Step 3: Cross multiply
    693,504x = 1,433,520 × 1,433,520
  4. Step 4: Simplify right side
    693,504x = 2,054,979,590,400
  5. Step 5: Solve for x
    x = 2,054,979,590,400/693,504
  6. Step 6: Final answer
    x = 2,963,183.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.