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Finding the Third Proportional to 389,884 and 837,784

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Solution

The third proportional to 389,884 and 837,784 is: 1,800,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,884 : 837,784 = 837,784 : x
  2. Step 2: Convert to fraction form
    389,884/837,784 = 837,784/x
  3. Step 3: Cross multiply
    389,884x = 837,784 × 837,784
  4. Step 4: Simplify right side
    389,884x = 701,882,030,656
  5. Step 5: Solve for x
    x = 701,882,030,656/389,884
  6. Step 6: Final answer
    x = 1,800,232.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.