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Finding the Third Proportional to 775,986 and 1,674,300

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Solution

The third proportional to 775,986 and 1,674,300 is: 3,612,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,986 : 1,674,300 = 1,674,300 : x
  2. Step 2: Convert to fraction form
    775,986/1,674,300 = 1,674,300/x
  3. Step 3: Cross multiply
    775,986x = 1,674,300 × 1,674,300
  4. Step 4: Simplify right side
    775,986x = 2,803,280,490,000
  5. Step 5: Solve for x
    x = 2,803,280,490,000/775,986
  6. Step 6: Final answer
    x = 3,612,540.03

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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.