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Finding the Third Proportional to 675,021 and 985,875

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Solution

The third proportional to 675,021 and 985,875 is: 1,439,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,021 : 985,875 = 985,875 : x
  2. Step 2: Convert to fraction form
    675,021/985,875 = 985,875/x
  3. Step 3: Cross multiply
    675,021x = 985,875 × 985,875
  4. Step 4: Simplify right side
    675,021x = 971,949,515,625
  5. Step 5: Solve for x
    x = 971,949,515,625/675,021
  6. Step 6: Final answer
    x = 1,439,880.41

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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.