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Finding the Third Proportional to 2,286,362 and 4,876,396

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Solution

The third proportional to 2,286,362 and 4,876,396 is: 10,400,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,362 : 4,876,396 = 4,876,396 : x
  2. Step 2: Convert to fraction form
    2,286,362/4,876,396 = 4,876,396/x
  3. Step 3: Cross multiply
    2,286,362x = 4,876,396 × 4,876,396
  4. Step 4: Simplify right side
    2,286,362x = 23,779,237,948,816
  5. Step 5: Solve for x
    x = 23,779,237,948,816/2,286,362
  6. Step 6: Final answer
    x = 10,400,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.