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Finding the Third Proportional to 1,445,874 and 3,140,649

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Solution

The third proportional to 1,445,874 and 3,140,649 is: 6,821,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,874 : 3,140,649 = 3,140,649 : x
  2. Step 2: Convert to fraction form
    1,445,874/3,140,649 = 3,140,649/x
  3. Step 3: Cross multiply
    1,445,874x = 3,140,649 × 3,140,649
  4. Step 4: Simplify right side
    1,445,874x = 9,863,676,141,201
  5. Step 5: Solve for x
    x = 9,863,676,141,201/1,445,874
  6. Step 6: Final answer
    x = 6,821,947.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.