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Finding the Third Proportional to 432,230 and 931,040

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Solution

The third proportional to 432,230 and 931,040 is: 2,005,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,230 : 931,040 = 931,040 : x
  2. Step 2: Convert to fraction form
    432,230/931,040 = 931,040/x
  3. Step 3: Cross multiply
    432,230x = 931,040 × 931,040
  4. Step 4: Simplify right side
    432,230x = 866,835,481,600
  5. Step 5: Solve for x
    x = 866,835,481,600/432,230
  6. Step 6: Final answer
    x = 2,005,495.87

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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.