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Finding the Third Proportional to 1,362,022 and 2,989,729

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Solution

The third proportional to 1,362,022 and 2,989,729 is: 6,562,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,022 : 2,989,729 = 2,989,729 : x
  2. Step 2: Convert to fraction form
    1,362,022/2,989,729 = 2,989,729/x
  3. Step 3: Cross multiply
    1,362,022x = 2,989,729 × 2,989,729
  4. Step 4: Simplify right side
    1,362,022x = 8,938,479,493,441
  5. Step 5: Solve for x
    x = 8,938,479,493,441/1,362,022
  6. Step 6: Final answer
    x = 6,562,654.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.