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Finding the Third Proportional to 434,770 and 929,241

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Solution

The third proportional to 434,770 and 929,241 is: 1,986,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,770 : 929,241 = 929,241 : x
  2. Step 2: Convert to fraction form
    434,770/929,241 = 929,241/x
  3. Step 3: Cross multiply
    434,770x = 929,241 × 929,241
  4. Step 4: Simplify right side
    434,770x = 863,488,836,081
  5. Step 5: Solve for x
    x = 863,488,836,081/434,770
  6. Step 6: Final answer
    x = 1,986,081.92

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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.