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Finding the Third Proportional to 1,189,838 and 2,319,898

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Solution

The third proportional to 1,189,838 and 2,319,898 is: 4,523,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,838 : 2,319,898 = 2,319,898 : x
  2. Step 2: Convert to fraction form
    1,189,838/2,319,898 = 2,319,898/x
  3. Step 3: Cross multiply
    1,189,838x = 2,319,898 × 2,319,898
  4. Step 4: Simplify right side
    1,189,838x = 5,381,926,730,404
  5. Step 5: Solve for x
    x = 5,381,926,730,404/1,189,838
  6. Step 6: Final answer
    x = 4,523,243.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.