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Finding the Third Proportional to 828,996.75 and 1,216,299.38

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Solution

The third proportional to 828,996.75 and 1,216,299.38 is: 1,784,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,996.75 : 1,216,299.38 = 1,216,299.38 : x
  2. Step 2: Convert to fraction form
    828,996.75/1,216,299.38 = 1,216,299.38/x
  3. Step 3: Cross multiply
    828,996.75x = 1,216,299.38 × 1,216,299.38
  4. Step 4: Simplify right side
    828,996.75x = 1,479,384,169,625.39
  5. Step 5: Solve for x
    x = 1,479,384,169,625.39/828,996.75
  6. Step 6: Final answer
    x = 1,784,547.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.