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Finding the Third Proportional to 598,754 and 1,286,212

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Solution

The third proportional to 598,754 and 1,286,212 is: 2,762,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,754 : 1,286,212 = 1,286,212 : x
  2. Step 2: Convert to fraction form
    598,754/1,286,212 = 1,286,212/x
  3. Step 3: Cross multiply
    598,754x = 1,286,212 × 1,286,212
  4. Step 4: Simplify right side
    598,754x = 1,654,341,308,944
  5. Step 5: Solve for x
    x = 1,654,341,308,944/598,754
  6. Step 6: Final answer
    x = 2,762,973.29

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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.