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Finding the Third Proportional to 1,894,304 and 4,058,176

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Solution

The third proportional to 1,894,304 and 4,058,176 is: 8,693,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,304 : 4,058,176 = 4,058,176 : x
  2. Step 2: Convert to fraction form
    1,894,304/4,058,176 = 4,058,176/x
  3. Step 3: Cross multiply
    1,894,304x = 4,058,176 × 4,058,176
  4. Step 4: Simplify right side
    1,894,304x = 16,468,792,446,976
  5. Step 5: Solve for x
    x = 16,468,792,446,976/1,894,304
  6. Step 6: Final answer
    x = 8,693,848.74

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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.