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Finding the Third Proportional to 828,766.69 and 1,277,283.94

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Solution

The third proportional to 828,766.69 and 1,277,283.94 is: 1,968,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,766.69 : 1,277,283.94 = 1,277,283.94 : x
  2. Step 2: Convert to fraction form
    828,766.69/1,277,283.94 = 1,277,283.94/x
  3. Step 3: Cross multiply
    828,766.69x = 1,277,283.94 × 1,277,283.94
  4. Step 4: Simplify right side
    828,766.69x = 1,631,454,256,995.50
  5. Step 5: Solve for x
    x = 1,631,454,256,995.50/828,766.69
  6. Step 6: Final answer
    x = 1,968,532.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.