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Finding the Third Proportional to 1,326,824 and 2,861,008

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Solution

The third proportional to 1,326,824 and 2,861,008 is: 6,169,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,824 : 2,861,008 = 2,861,008 : x
  2. Step 2: Convert to fraction form
    1,326,824/2,861,008 = 2,861,008/x
  3. Step 3: Cross multiply
    1,326,824x = 2,861,008 × 2,861,008
  4. Step 4: Simplify right side
    1,326,824x = 8,185,366,776,064
  5. Step 5: Solve for x
    x = 8,185,366,776,064/1,326,824
  6. Step 6: Final answer
    x = 6,169,142.84

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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.