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Finding the Third Proportional to 780,165 and 1,676,713.50

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Solution

The third proportional to 780,165 and 1,676,713.50 is: 3,603,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,165 : 1,676,713.50 = 1,676,713.50 : x
  2. Step 2: Convert to fraction form
    780,165/1,676,713.50 = 1,676,713.50/x
  3. Step 3: Cross multiply
    780,165x = 1,676,713.50 × 1,676,713.50
  4. Step 4: Simplify right side
    780,165x = 2,811,368,161,082.25
  5. Step 5: Solve for x
    x = 2,811,368,161,082.25/780,165
  6. Step 6: Final answer
    x = 3,603,555.86

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Why These Related Problems?

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