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Finding the Third Proportional to 2,033,457 and 4,382,084

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Solution

The third proportional to 2,033,457 and 4,382,084 is: 9,443,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,457 : 4,382,084 = 4,382,084 : x
  2. Step 2: Convert to fraction form
    2,033,457/4,382,084 = 4,382,084/x
  3. Step 3: Cross multiply
    2,033,457x = 4,382,084 × 4,382,084
  4. Step 4: Simplify right side
    2,033,457x = 19,202,660,183,056
  5. Step 5: Solve for x
    x = 19,202,660,183,056/2,033,457
  6. Step 6: Final answer
    x = 9,443,356.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.