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Finding the Third Proportional to 1,623,738 and 2,473,884

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Solution

The third proportional to 1,623,738 and 2,473,884 is: 3,769,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623,738 : 2,473,884 = 2,473,884 : x
  2. Step 2: Convert to fraction form
    1,623,738/2,473,884 = 2,473,884/x
  3. Step 3: Cross multiply
    1,623,738x = 2,473,884 × 2,473,884
  4. Step 4: Simplify right side
    1,623,738x = 6,120,102,045,456
  5. Step 5: Solve for x
    x = 6,120,102,045,456/1,623,738
  6. Step 6: Final answer
    x = 3,769,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.