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Finding the Third Proportional to 1,197,819 and 2,570,886

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Solution

The third proportional to 1,197,819 and 2,570,886 is: 5,517,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,819 : 2,570,886 = 2,570,886 : x
  2. Step 2: Convert to fraction form
    1,197,819/2,570,886 = 2,570,886/x
  3. Step 3: Cross multiply
    1,197,819x = 2,570,886 × 2,570,886
  4. Step 4: Simplify right side
    1,197,819x = 6,609,454,824,996
  5. Step 5: Solve for x
    x = 6,609,454,824,996/1,197,819
  6. Step 6: Final answer
    x = 5,517,907.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.