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Finding the Third Proportional to 1,270,678 and 1,975,713

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Solution

The third proportional to 1,270,678 and 1,975,713 is: 3,071,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,678 : 1,975,713 = 1,975,713 : x
  2. Step 2: Convert to fraction form
    1,270,678/1,975,713 = 1,975,713/x
  3. Step 3: Cross multiply
    1,270,678x = 1,975,713 × 1,975,713
  4. Step 4: Simplify right side
    1,270,678x = 3,903,441,858,369
  5. Step 5: Solve for x
    x = 3,903,441,858,369/1,270,678
  6. Step 6: Final answer
    x = 3,071,936.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.