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Finding the Third Proportional to 2,005,271 and 4,330,194

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Solution

The third proportional to 2,005,271 and 4,330,194 is: 9,350,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,271 : 4,330,194 = 4,330,194 : x
  2. Step 2: Convert to fraction form
    2,005,271/4,330,194 = 4,330,194/x
  3. Step 3: Cross multiply
    2,005,271x = 4,330,194 × 4,330,194
  4. Step 4: Simplify right side
    2,005,271x = 18,750,580,077,636
  5. Step 5: Solve for x
    x = 18,750,580,077,636/2,005,271
  6. Step 6: Final answer
    x = 9,350,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.