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Finding the Third Proportional to 2,235,968 and 4,825,986

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Solution

The third proportional to 2,235,968 and 4,825,986 is: 10,416,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,968 : 4,825,986 = 4,825,986 : x
  2. Step 2: Convert to fraction form
    2,235,968/4,825,986 = 4,825,986/x
  3. Step 3: Cross multiply
    2,235,968x = 4,825,986 × 4,825,986
  4. Step 4: Simplify right side
    2,235,968x = 23,290,140,872,196
  5. Step 5: Solve for x
    x = 23,290,140,872,196/2,235,968
  6. Step 6: Final answer
    x = 10,416,133.36

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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.