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Finding the Third Proportional to 952,602 and 2,036,214

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Solution

The third proportional to 952,602 and 2,036,214 is: 4,352,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,602 : 2,036,214 = 2,036,214 : x
  2. Step 2: Convert to fraction form
    952,602/2,036,214 = 2,036,214/x
  3. Step 3: Cross multiply
    952,602x = 2,036,214 × 2,036,214
  4. Step 4: Simplify right side
    952,602x = 4,146,167,453,796
  5. Step 5: Solve for x
    x = 4,146,167,453,796/952,602
  6. Step 6: Final answer
    x = 4,352,465.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.