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Finding the Third Proportional to 1,401,914 and 3,069,184

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Solution

The third proportional to 1,401,914 and 3,069,184 is: 6,719,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,914 : 3,069,184 = 3,069,184 : x
  2. Step 2: Convert to fraction form
    1,401,914/3,069,184 = 3,069,184/x
  3. Step 3: Cross multiply
    1,401,914x = 3,069,184 × 3,069,184
  4. Step 4: Simplify right side
    1,401,914x = 9,419,890,425,856
  5. Step 5: Solve for x
    x = 9,419,890,425,856/1,401,914
  6. Step 6: Final answer
    x = 6,719,306.91

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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.