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Finding the Third Proportional to 2,292,556 and 4,771,176

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Solution

The third proportional to 2,292,556 and 4,771,176 is: 9,929,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,556 : 4,771,176 = 4,771,176 : x
  2. Step 2: Convert to fraction form
    2,292,556/4,771,176 = 4,771,176/x
  3. Step 3: Cross multiply
    2,292,556x = 4,771,176 × 4,771,176
  4. Step 4: Simplify right side
    2,292,556x = 22,764,120,422,976
  5. Step 5: Solve for x
    x = 22,764,120,422,976/2,292,556
  6. Step 6: Final answer
    x = 9,929,580.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.