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Finding the Third Proportional to 780,219 and 1,676,835

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Solution

The third proportional to 780,219 and 1,676,835 is: 3,603,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,219 : 1,676,835 = 1,676,835 : x
  2. Step 2: Convert to fraction form
    780,219/1,676,835 = 1,676,835/x
  3. Step 3: Cross multiply
    780,219x = 1,676,835 × 1,676,835
  4. Step 4: Simplify right side
    780,219x = 2,811,775,617,225
  5. Step 5: Solve for x
    x = 2,811,775,617,225/780,219
  6. Step 6: Final answer
    x = 3,603,828.69

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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.