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Finding the Third Proportional to 829,294 and 1,270,152

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Solution

The third proportional to 829,294 and 1,270,152 is: 1,945,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,294 : 1,270,152 = 1,270,152 : x
  2. Step 2: Convert to fraction form
    829,294/1,270,152 = 1,270,152/x
  3. Step 3: Cross multiply
    829,294x = 1,270,152 × 1,270,152
  4. Step 4: Simplify right side
    829,294x = 1,613,286,103,104
  5. Step 5: Solve for x
    x = 1,613,286,103,104/829,294
  6. Step 6: Final answer
    x = 1,945,372.94

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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.