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Finding the Third Proportional to 506,925 and 1,092,420

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Solution

The third proportional to 506,925 and 1,092,420 is: 2,354,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,925 : 1,092,420 = 1,092,420 : x
  2. Step 2: Convert to fraction form
    506,925/1,092,420 = 1,092,420/x
  3. Step 3: Cross multiply
    506,925x = 1,092,420 × 1,092,420
  4. Step 4: Simplify right side
    506,925x = 1,193,381,456,400
  5. Step 5: Solve for x
    x = 1,193,381,456,400/506,925
  6. Step 6: Final answer
    x = 2,354,157.83

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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.