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Finding the Third Proportional to 844,741 and 1,838,197

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Solution

The third proportional to 844,741 and 1,838,197 is: 4,000,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,741 : 1,838,197 = 1,838,197 : x
  2. Step 2: Convert to fraction form
    844,741/1,838,197 = 1,838,197/x
  3. Step 3: Cross multiply
    844,741x = 1,838,197 × 1,838,197
  4. Step 4: Simplify right side
    844,741x = 3,378,968,210,809
  5. Step 5: Solve for x
    x = 3,378,968,210,809/844,741
  6. Step 6: Final answer
    x = 4,000,004.98

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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.