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Finding the Third Proportional to 471,869 and 1,018,823

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Solution

The third proportional to 471,869 and 1,018,823 is: 2,199,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,869 : 1,018,823 = 1,018,823 : x
  2. Step 2: Convert to fraction form
    471,869/1,018,823 = 1,018,823/x
  3. Step 3: Cross multiply
    471,869x = 1,018,823 × 1,018,823
  4. Step 4: Simplify right side
    471,869x = 1,038,000,305,329
  5. Step 5: Solve for x
    x = 1,038,000,305,329/471,869
  6. Step 6: Final answer
    x = 2,199,763.72

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Why These Related Problems?

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