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Finding the Third Proportional to 3,075,010 and 4,493,997

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Solution

The third proportional to 3,075,010 and 4,493,997 is: 6,567,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,010 : 4,493,997 = 4,493,997 : x
  2. Step 2: Convert to fraction form
    3,075,010/4,493,997 = 4,493,997/x
  3. Step 3: Cross multiply
    3,075,010x = 4,493,997 × 4,493,997
  4. Step 4: Simplify right side
    3,075,010x = 20,196,009,036,009
  5. Step 5: Solve for x
    x = 20,196,009,036,009/3,075,010
  6. Step 6: Final answer
    x = 6,567,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.