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Finding the Third Proportional to 1,577,846 and 3,408,024

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Solution

The third proportional to 1,577,846 and 3,408,024 is: 7,361,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,846 : 3,408,024 = 3,408,024 : x
  2. Step 2: Convert to fraction form
    1,577,846/3,408,024 = 3,408,024/x
  3. Step 3: Cross multiply
    1,577,846x = 3,408,024 × 3,408,024
  4. Step 4: Simplify right side
    1,577,846x = 11,614,627,584,576
  5. Step 5: Solve for x
    x = 11,614,627,584,576/1,577,846
  6. Step 6: Final answer
    x = 7,361,065.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.