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Finding the Third Proportional to 675,042.75 and 985,902.75

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Solution

The third proportional to 675,042.75 and 985,902.75 is: 1,439,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,042.75 : 985,902.75 = 985,902.75 : x
  2. Step 2: Convert to fraction form
    675,042.75/985,902.75 = 985,902.75/x
  3. Step 3: Cross multiply
    675,042.75x = 985,902.75 × 985,902.75
  4. Step 4: Simplify right side
    675,042.75x = 972,004,232,457.56
  5. Step 5: Solve for x
    x = 972,004,232,457.56/675,042.75
  6. Step 6: Final answer
    x = 1,439,915.08

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Why These Related Problems?

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