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Finding the Third Proportional to 1,536,960 and 3,339,704

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Solution

The third proportional to 1,536,960 and 3,339,704 is: 7,256,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,960 : 3,339,704 = 3,339,704 : x
  2. Step 2: Convert to fraction form
    1,536,960/3,339,704 = 3,339,704/x
  3. Step 3: Cross multiply
    1,536,960x = 3,339,704 × 3,339,704
  4. Step 4: Simplify right side
    1,536,960x = 11,153,622,807,616
  5. Step 5: Solve for x
    x = 11,153,622,807,616/1,536,960
  6. Step 6: Final answer
    x = 7,256,937.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.