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Finding the Third Proportional to 1,905,834 and 4,189,536

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Solution

The third proportional to 1,905,834 and 4,189,536 is: 9,209,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,834 : 4,189,536 = 4,189,536 : x
  2. Step 2: Convert to fraction form
    1,905,834/4,189,536 = 4,189,536/x
  3. Step 3: Cross multiply
    1,905,834x = 4,189,536 × 4,189,536
  4. Step 4: Simplify right side
    1,905,834x = 17,552,211,895,296
  5. Step 5: Solve for x
    x = 17,552,211,895,296/1,905,834
  6. Step 6: Final answer
    x = 9,209,727.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.