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Finding the Third Proportional to 2,054,007 and 4,170,222

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Solution

The third proportional to 2,054,007 and 4,170,222 is: 8,466,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,007 : 4,170,222 = 4,170,222 : x
  2. Step 2: Convert to fraction form
    2,054,007/4,170,222 = 4,170,222/x
  3. Step 3: Cross multiply
    2,054,007x = 4,170,222 × 4,170,222
  4. Step 4: Simplify right side
    2,054,007x = 17,390,751,529,284
  5. Step 5: Solve for x
    x = 17,390,751,529,284/2,054,007
  6. Step 6: Final answer
    x = 8,466,744.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.