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Finding the Third Proportional to 1,854,000 and 3,907,296

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Solution

The third proportional to 1,854,000 and 3,907,296 is: 8,234,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,000 : 3,907,296 = 3,907,296 : x
  2. Step 2: Convert to fraction form
    1,854,000/3,907,296 = 3,907,296/x
  3. Step 3: Cross multiply
    1,854,000x = 3,907,296 × 3,907,296
  4. Step 4: Simplify right side
    1,854,000x = 15,266,962,031,616
  5. Step 5: Solve for x
    x = 15,266,962,031,616/1,854,000
  6. Step 6: Final answer
    x = 8,234,607.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.