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Finding the Third Proportional to 1,408,914 and 3,083,670

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Solution

The third proportional to 1,408,914 and 3,083,670 is: 6,749,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,914 : 3,083,670 = 3,083,670 : x
  2. Step 2: Convert to fraction form
    1,408,914/3,083,670 = 3,083,670/x
  3. Step 3: Cross multiply
    1,408,914x = 3,083,670 × 3,083,670
  4. Step 4: Simplify right side
    1,408,914x = 9,509,020,668,900
  5. Step 5: Solve for x
    x = 9,509,020,668,900/1,408,914
  6. Step 6: Final answer
    x = 6,749,184.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.