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Finding the Third Proportional to 1,140,567 and 2,449,614

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Solution

The third proportional to 1,140,567 and 2,449,614 is: 5,261,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,567 : 2,449,614 = 2,449,614 : x
  2. Step 2: Convert to fraction form
    1,140,567/2,449,614 = 2,449,614/x
  3. Step 3: Cross multiply
    1,140,567x = 2,449,614 × 2,449,614
  4. Step 4: Simplify right side
    1,140,567x = 6,000,608,748,996
  5. Step 5: Solve for x
    x = 6,000,608,748,996/1,140,567
  6. Step 6: Final answer
    x = 5,261,075.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.