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Finding the Third Proportional to 828,999 and 1,216,302.75

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Solution

The third proportional to 828,999 and 1,216,302.75 is: 1,784,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,999 : 1,216,302.75 = 1,216,302.75 : x
  2. Step 2: Convert to fraction form
    828,999/1,216,302.75 = 1,216,302.75/x
  3. Step 3: Cross multiply
    828,999x = 1,216,302.75 × 1,216,302.75
  4. Step 4: Simplify right side
    828,999x = 1,479,392,379,657.56
  5. Step 5: Solve for x
    x = 1,479,392,379,657.56/828,999
  6. Step 6: Final answer
    x = 1,784,552.67

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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.