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Finding the Third Proportional to 780,300 and 1,677,000

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Solution

The third proportional to 780,300 and 1,677,000 is: 3,604,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,300 : 1,677,000 = 1,677,000 : x
  2. Step 2: Convert to fraction form
    780,300/1,677,000 = 1,677,000/x
  3. Step 3: Cross multiply
    780,300x = 1,677,000 × 1,677,000
  4. Step 4: Simplify right side
    780,300x = 2,812,329,000,000
  5. Step 5: Solve for x
    x = 2,812,329,000,000/780,300
  6. Step 6: Final answer
    x = 3,604,163.78

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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.