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Finding the Third Proportional to 2,735,968 and 5,939,222

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Solution

The third proportional to 2,735,968 and 5,939,222 is: 12,892,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,968 : 5,939,222 = 5,939,222 : x
  2. Step 2: Convert to fraction form
    2,735,968/5,939,222 = 5,939,222/x
  3. Step 3: Cross multiply
    2,735,968x = 5,939,222 × 5,939,222
  4. Step 4: Simplify right side
    2,735,968x = 35,274,357,965,284
  5. Step 5: Solve for x
    x = 35,274,357,965,284/2,735,968
  6. Step 6: Final answer
    x = 12,892,825.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.