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Finding the Third Proportional to 392,242 and 846,692

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Solution

The third proportional to 392,242 and 846,692 is: 1,827,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,242 : 846,692 = 846,692 : x
  2. Step 2: Convert to fraction form
    392,242/846,692 = 846,692/x
  3. Step 3: Cross multiply
    392,242x = 846,692 × 846,692
  4. Step 4: Simplify right side
    392,242x = 716,887,342,864
  5. Step 5: Solve for x
    x = 716,887,342,864/392,242
  6. Step 6: Final answer
    x = 1,827,665.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.