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Finding the Third Proportional to 1,545,414 and 3,399,142

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Solution

The third proportional to 1,545,414 and 3,399,142 is: 7,476,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,414 : 3,399,142 = 3,399,142 : x
  2. Step 2: Convert to fraction form
    1,545,414/3,399,142 = 3,399,142/x
  3. Step 3: Cross multiply
    1,545,414x = 3,399,142 × 3,399,142
  4. Step 4: Simplify right side
    1,545,414x = 11,554,166,336,164
  5. Step 5: Solve for x
    x = 11,554,166,336,164/1,545,414
  6. Step 6: Final answer
    x = 7,476,421.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.