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Finding the Third Proportional to 846,774 and 1,826,496

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Solution

The third proportional to 846,774 and 1,826,496 is: 3,939,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,774 : 1,826,496 = 1,826,496 : x
  2. Step 2: Convert to fraction form
    846,774/1,826,496 = 1,826,496/x
  3. Step 3: Cross multiply
    846,774x = 1,826,496 × 1,826,496
  4. Step 4: Simplify right side
    846,774x = 3,336,087,638,016
  5. Step 5: Solve for x
    x = 3,336,087,638,016/846,774
  6. Step 6: Final answer
    x = 3,939,761.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.