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Finding the Third Proportional to 432,652 and 946,760

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Solution

The third proportional to 432,652 and 946,760 is: 2,071,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,652 : 946,760 = 946,760 : x
  2. Step 2: Convert to fraction form
    432,652/946,760 = 946,760/x
  3. Step 3: Cross multiply
    432,652x = 946,760 × 946,760
  4. Step 4: Simplify right side
    432,652x = 896,354,497,600
  5. Step 5: Solve for x
    x = 896,354,497,600/432,652
  6. Step 6: Final answer
    x = 2,071,767.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.