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Finding the Third Proportional to 780,770.81 and 1,880,908.38

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Solution

The third proportional to 780,770.81 and 1,880,908.38 is: 4,531,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,770.81 : 1,880,908.38 = 1,880,908.38 : x
  2. Step 2: Convert to fraction form
    780,770.81/1,880,908.38 = 1,880,908.38/x
  3. Step 3: Cross multiply
    780,770.81x = 1,880,908.38 × 1,880,908.38
  4. Step 4: Simplify right side
    780,770.81x = 3,537,816,344,534.33
  5. Step 5: Solve for x
    x = 3,537,816,344,534.33/780,770.81
  6. Step 6: Final answer
    x = 4,531,184.17

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.