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Finding the Third Proportional to 1,076,706 and 2,265,012

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Solution

The third proportional to 1,076,706 and 2,265,012 is: 4,764,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,706 : 2,265,012 = 2,265,012 : x
  2. Step 2: Convert to fraction form
    1,076,706/2,265,012 = 2,265,012/x
  3. Step 3: Cross multiply
    1,076,706x = 2,265,012 × 2,265,012
  4. Step 4: Simplify right side
    1,076,706x = 5,130,279,360,144
  5. Step 5: Solve for x
    x = 5,130,279,360,144/1,076,706
  6. Step 6: Final answer
    x = 4,764,791.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.