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Finding the Third Proportional to 967,647 and 1,537,005

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Solution

The third proportional to 967,647 and 1,537,005 is: 2,441,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,647 : 1,537,005 = 1,537,005 : x
  2. Step 2: Convert to fraction form
    967,647/1,537,005 = 1,537,005/x
  3. Step 3: Cross multiply
    967,647x = 1,537,005 × 1,537,005
  4. Step 4: Simplify right side
    967,647x = 2,362,384,370,025
  5. Step 5: Solve for x
    x = 2,362,384,370,025/967,647
  6. Step 6: Final answer
    x = 2,441,370.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.