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Finding the Third Proportional to 521,958 and 1,112,277

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Solution

The third proportional to 521,958 and 1,112,277 is: 2,370,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,958 : 1,112,277 = 1,112,277 : x
  2. Step 2: Convert to fraction form
    521,958/1,112,277 = 1,112,277/x
  3. Step 3: Cross multiply
    521,958x = 1,112,277 × 1,112,277
  4. Step 4: Simplify right side
    521,958x = 1,237,160,124,729
  5. Step 5: Solve for x
    x = 1,237,160,124,729/521,958
  6. Step 6: Final answer
    x = 2,370,229.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.