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Finding the Third Proportional to 478,311 and 1,049,925

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Solution

The third proportional to 478,311 and 1,049,925 is: 2,304,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,311 : 1,049,925 = 1,049,925 : x
  2. Step 2: Convert to fraction form
    478,311/1,049,925 = 1,049,925/x
  3. Step 3: Cross multiply
    478,311x = 1,049,925 × 1,049,925
  4. Step 4: Simplify right side
    478,311x = 1,102,342,505,625
  5. Step 5: Solve for x
    x = 1,102,342,505,625/478,311
  6. Step 6: Final answer
    x = 2,304,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.