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Finding the Third Proportional to 829,284 and 1,270,134

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Solution

The third proportional to 829,284 and 1,270,134 is: 1,945,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,284 : 1,270,134 = 1,270,134 : x
  2. Step 2: Convert to fraction form
    829,284/1,270,134 = 1,270,134/x
  3. Step 3: Cross multiply
    829,284x = 1,270,134 × 1,270,134
  4. Step 4: Simplify right side
    829,284x = 1,613,240,377,956
  5. Step 5: Solve for x
    x = 1,613,240,377,956/829,284
  6. Step 6: Final answer
    x = 1,945,341.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.