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Finding the Third Proportional to 1,378,709 and 1,985,766

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Solution

The third proportional to 1,378,709 and 1,985,766 is: 2,860,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,709 : 1,985,766 = 1,985,766 : x
  2. Step 2: Convert to fraction form
    1,378,709/1,985,766 = 1,985,766/x
  3. Step 3: Cross multiply
    1,378,709x = 1,985,766 × 1,985,766
  4. Step 4: Simplify right side
    1,378,709x = 3,943,266,606,756
  5. Step 5: Solve for x
    x = 3,943,266,606,756/1,378,709
  6. Step 6: Final answer
    x = 2,860,115.23

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.