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Finding the Third Proportional to 846,218 and 1,846,756

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Solution

The third proportional to 846,218 and 1,846,756 is: 4,030,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,218 : 1,846,756 = 1,846,756 : x
  2. Step 2: Convert to fraction form
    846,218/1,846,756 = 1,846,756/x
  3. Step 3: Cross multiply
    846,218x = 1,846,756 × 1,846,756
  4. Step 4: Simplify right side
    846,218x = 3,410,507,723,536
  5. Step 5: Solve for x
    x = 3,410,507,723,536/846,218
  6. Step 6: Final answer
    x = 4,030,294.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.