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Finding the Third Proportional to 510,958 and 1,054,716

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Solution

The third proportional to 510,958 and 1,054,716 is: 2,177,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,958 : 1,054,716 = 1,054,716 : x
  2. Step 2: Convert to fraction form
    510,958/1,054,716 = 1,054,716/x
  3. Step 3: Cross multiply
    510,958x = 1,054,716 × 1,054,716
  4. Step 4: Simplify right side
    510,958x = 1,112,425,840,656
  5. Step 5: Solve for x
    x = 1,112,425,840,656/510,958
  6. Step 6: Final answer
    x = 2,177,137.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.