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Finding the Third Proportional to 1,299,668 and 2,898,178

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Solution

The third proportional to 1,299,668 and 2,898,178 is: 6,462,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,668 : 2,898,178 = 2,898,178 : x
  2. Step 2: Convert to fraction form
    1,299,668/2,898,178 = 2,898,178/x
  3. Step 3: Cross multiply
    1,299,668x = 2,898,178 × 2,898,178
  4. Step 4: Simplify right side
    1,299,668x = 8,399,435,719,684
  5. Step 5: Solve for x
    x = 8,399,435,719,684/1,299,668
  6. Step 6: Final answer
    x = 6,462,754.89

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.