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Finding the Third Proportional to 2,257,284 and 4,825,176

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Solution

The third proportional to 2,257,284 and 4,825,176 is: 10,314,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,284 : 4,825,176 = 4,825,176 : x
  2. Step 2: Convert to fraction form
    2,257,284/4,825,176 = 4,825,176/x
  3. Step 3: Cross multiply
    2,257,284x = 4,825,176 × 4,825,176
  4. Step 4: Simplify right side
    2,257,284x = 23,282,323,430,976
  5. Step 5: Solve for x
    x = 23,282,323,430,976/2,257,284
  6. Step 6: Final answer
    x = 10,314,308.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.