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Finding the Third Proportional to 1,326,144 and 2,861,952

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Solution

The third proportional to 1,326,144 and 2,861,952 is: 6,176,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,144 : 2,861,952 = 2,861,952 : x
  2. Step 2: Convert to fraction form
    1,326,144/2,861,952 = 2,861,952/x
  3. Step 3: Cross multiply
    1,326,144x = 2,861,952 × 2,861,952
  4. Step 4: Simplify right side
    1,326,144x = 8,190,769,250,304
  5. Step 5: Solve for x
    x = 8,190,769,250,304/1,326,144
  6. Step 6: Final answer
    x = 6,176,379.98

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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.