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Finding the Third Proportional to 978,075 and 2,019,006

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Solution

The third proportional to 978,075 and 2,019,006 is: 4,167,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,075 : 2,019,006 = 2,019,006 : x
  2. Step 2: Convert to fraction form
    978,075/2,019,006 = 2,019,006/x
  3. Step 3: Cross multiply
    978,075x = 2,019,006 × 2,019,006
  4. Step 4: Simplify right side
    978,075x = 4,076,385,228,036
  5. Step 5: Solve for x
    x = 4,076,385,228,036/978,075
  6. Step 6: Final answer
    x = 4,167,763.44

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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.