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Finding the Third Proportional to 1,536,840 and 3,310,416

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Solution

The third proportional to 1,536,840 and 3,310,416 is: 7,130,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,840 : 3,310,416 = 3,310,416 : x
  2. Step 2: Convert to fraction form
    1,536,840/3,310,416 = 3,310,416/x
  3. Step 3: Cross multiply
    1,536,840x = 3,310,416 × 3,310,416
  4. Step 4: Simplify right side
    1,536,840x = 10,958,854,093,056
  5. Step 5: Solve for x
    x = 10,958,854,093,056/1,536,840
  6. Step 6: Final answer
    x = 7,130,770.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.