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Finding the Third Proportional to 829,292 and 1,270,149

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Solution

The third proportional to 829,292 and 1,270,149 is: 1,945,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,292 : 1,270,149 = 1,270,149 : x
  2. Step 2: Convert to fraction form
    829,292/1,270,149 = 1,270,149/x
  3. Step 3: Cross multiply
    829,292x = 1,270,149 × 1,270,149
  4. Step 4: Simplify right side
    829,292x = 1,613,278,482,201
  5. Step 5: Solve for x
    x = 1,613,278,482,201/829,292
  6. Step 6: Final answer
    x = 1,945,368.44

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