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Finding the Third Proportional to 777,942 and 1,137,105

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Solution

The third proportional to 777,942 and 1,137,105 is: 1,662,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,942 : 1,137,105 = 1,137,105 : x
  2. Step 2: Convert to fraction form
    777,942/1,137,105 = 1,137,105/x
  3. Step 3: Cross multiply
    777,942x = 1,137,105 × 1,137,105
  4. Step 4: Simplify right side
    777,942x = 1,293,007,781,025
  5. Step 5: Solve for x
    x = 1,293,007,781,025/777,942
  6. Step 6: Final answer
    x = 1,662,087.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.