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Finding the Third Proportional to 2,325,907 and 4,927,991

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Solution

The third proportional to 2,325,907 and 4,927,991 is: 10,441,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,907 : 4,927,991 = 4,927,991 : x
  2. Step 2: Convert to fraction form
    2,325,907/4,927,991 = 4,927,991/x
  3. Step 3: Cross multiply
    2,325,907x = 4,927,991 × 4,927,991
  4. Step 4: Simplify right side
    2,325,907x = 24,285,095,296,081
  5. Step 5: Solve for x
    x = 24,285,095,296,081/2,325,907
  6. Step 6: Final answer
    x = 10,441,129.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.