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Finding the Third Proportional to 1,894,446 and 4,058,460

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Solution

The third proportional to 1,894,446 and 4,058,460 is: 8,694,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,446 : 4,058,460 = 4,058,460 : x
  2. Step 2: Convert to fraction form
    1,894,446/4,058,460 = 4,058,460/x
  3. Step 3: Cross multiply
    1,894,446x = 4,058,460 × 4,058,460
  4. Step 4: Simplify right side
    1,894,446x = 16,471,097,571,600
  5. Step 5: Solve for x
    x = 16,471,097,571,600/1,894,446
  6. Step 6: Final answer
    x = 8,694,413.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.