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Finding the Third Proportional to 616,818 and 1,427,845

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Solution

The third proportional to 616,818 and 1,427,845 is: 3,305,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,818 : 1,427,845 = 1,427,845 : x
  2. Step 2: Convert to fraction form
    616,818/1,427,845 = 1,427,845/x
  3. Step 3: Cross multiply
    616,818x = 1,427,845 × 1,427,845
  4. Step 4: Simplify right side
    616,818x = 2,038,741,344,025
  5. Step 5: Solve for x
    x = 2,038,741,344,025/616,818
  6. Step 6: Final answer
    x = 3,305,255.92

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.