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Finding the Third Proportional to 780,308 and 1,677,016

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Solution

The third proportional to 780,308 and 1,677,016 is: 3,604,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,308 : 1,677,016 = 1,677,016 : x
  2. Step 2: Convert to fraction form
    780,308/1,677,016 = 1,677,016/x
  3. Step 3: Cross multiply
    780,308x = 1,677,016 × 1,677,016
  4. Step 4: Simplify right side
    780,308x = 2,812,382,664,256
  5. Step 5: Solve for x
    x = 2,812,382,664,256/780,308
  6. Step 6: Final answer
    x = 3,604,195.61

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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.