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Finding the Third Proportional to 2,330,177 and 3,148,221

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Solution

The third proportional to 2,330,177 and 3,148,221 is: 4,253,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,177 : 3,148,221 = 3,148,221 : x
  2. Step 2: Convert to fraction form
    2,330,177/3,148,221 = 3,148,221/x
  3. Step 3: Cross multiply
    2,330,177x = 3,148,221 × 3,148,221
  4. Step 4: Simplify right side
    2,330,177x = 9,911,295,464,841
  5. Step 5: Solve for x
    x = 9,911,295,464,841/2,330,177
  6. Step 6: Final answer
    x = 4,253,451.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.