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Finding the Third Proportional to 2,106,034 and 4,548,299

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Solution

The third proportional to 2,106,034 and 4,548,299 is: 9,822,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,034 : 4,548,299 = 4,548,299 : x
  2. Step 2: Convert to fraction form
    2,106,034/4,548,299 = 4,548,299/x
  3. Step 3: Cross multiply
    2,106,034x = 4,548,299 × 4,548,299
  4. Step 4: Simplify right side
    2,106,034x = 20,687,023,793,401
  5. Step 5: Solve for x
    x = 20,687,023,793,401/2,106,034
  6. Step 6: Final answer
    x = 9,822,739.71

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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.