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Finding the Third Proportional to 603,538 and 1,256,609

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Solution

The third proportional to 603,538 and 1,256,609 is: 2,616,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,538 : 1,256,609 = 1,256,609 : x
  2. Step 2: Convert to fraction form
    603,538/1,256,609 = 1,256,609/x
  3. Step 3: Cross multiply
    603,538x = 1,256,609 × 1,256,609
  4. Step 4: Simplify right side
    603,538x = 1,579,066,178,881
  5. Step 5: Solve for x
    x = 1,579,066,178,881/603,538
  6. Step 6: Final answer
    x = 2,616,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.