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Finding the Third Proportional to 1,520,780 and 2,353,965

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Solution

The third proportional to 1,520,780 and 2,353,965 is: 3,643,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,780 : 2,353,965 = 2,353,965 : x
  2. Step 2: Convert to fraction form
    1,520,780/2,353,965 = 2,353,965/x
  3. Step 3: Cross multiply
    1,520,780x = 2,353,965 × 2,353,965
  4. Step 4: Simplify right side
    1,520,780x = 5,541,151,221,225
  5. Step 5: Solve for x
    x = 5,541,151,221,225/1,520,780
  6. Step 6: Final answer
    x = 3,643,624.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.