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Finding the Third Proportional to 829,197 and 1,785,915

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Solution

The third proportional to 829,197 and 1,785,915 is: 3,846,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,197 : 1,785,915 = 1,785,915 : x
  2. Step 2: Convert to fraction form
    829,197/1,785,915 = 1,785,915/x
  3. Step 3: Cross multiply
    829,197x = 1,785,915 × 1,785,915
  4. Step 4: Simplify right side
    829,197x = 3,189,492,387,225
  5. Step 5: Solve for x
    x = 3,189,492,387,225/829,197
  6. Step 6: Final answer
    x = 3,846,483.27

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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.