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Finding the Third Proportional to 3,409,920 and 7,462,000

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Solution

The third proportional to 3,409,920 and 7,462,000 is: 16,329,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,920 : 7,462,000 = 7,462,000 : x
  2. Step 2: Convert to fraction form
    3,409,920/7,462,000 = 7,462,000/x
  3. Step 3: Cross multiply
    3,409,920x = 7,462,000 × 7,462,000
  4. Step 4: Simplify right side
    3,409,920x = 55,681,444,000,000
  5. Step 5: Solve for x
    x = 55,681,444,000,000/3,409,920
  6. Step 6: Final answer
    x = 16,329,252.30

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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.