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Finding the Third Proportional to 978,111 and 2,019,078

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Solution

The third proportional to 978,111 and 2,019,078 is: 4,167,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,111 : 2,019,078 = 2,019,078 : x
  2. Step 2: Convert to fraction form
    978,111/2,019,078 = 2,019,078/x
  3. Step 3: Cross multiply
    978,111x = 2,019,078 × 2,019,078
  4. Step 4: Simplify right side
    978,111x = 4,076,675,970,084
  5. Step 5: Solve for x
    x = 4,076,675,970,084/978,111
  6. Step 6: Final answer
    x = 4,167,907.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.