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Finding the Third Proportional to 392,218 and 846,644

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Solution

The third proportional to 392,218 and 846,644 is: 1,827,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,218 : 846,644 = 846,644 : x
  2. Step 2: Convert to fraction form
    392,218/846,644 = 846,644/x
  3. Step 3: Cross multiply
    392,218x = 846,644 × 846,644
  4. Step 4: Simplify right side
    392,218x = 716,806,062,736
  5. Step 5: Solve for x
    x = 716,806,062,736/392,218
  6. Step 6: Final answer
    x = 1,827,570.54

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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.