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Finding the Third Proportional to 432,722 and 941,639

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Solution

The third proportional to 432,722 and 941,639 is: 2,049,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,722 : 941,639 = 941,639 : x
  2. Step 2: Convert to fraction form
    432,722/941,639 = 941,639/x
  3. Step 3: Cross multiply
    432,722x = 941,639 × 941,639
  4. Step 4: Simplify right side
    432,722x = 886,684,006,321
  5. Step 5: Solve for x
    x = 886,684,006,321/432,722
  6. Step 6: Final answer
    x = 2,049,084.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.