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Finding the Third Proportional to 432,227 and 931,036

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Solution

The third proportional to 432,227 and 931,036 is: 2,005,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,227 : 931,036 = 931,036 : x
  2. Step 2: Convert to fraction form
    432,227/931,036 = 931,036/x
  3. Step 3: Cross multiply
    432,227x = 931,036 × 931,036
  4. Step 4: Simplify right side
    432,227x = 866,828,033,296
  5. Step 5: Solve for x
    x = 866,828,033,296/432,227
  6. Step 6: Final answer
    x = 2,005,492.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.