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Finding the Third Proportional to 432,603 and 931,761

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Solution

The third proportional to 432,603 and 931,761 is: 2,006,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,603 : 931,761 = 931,761 : x
  2. Step 2: Convert to fraction form
    432,603/931,761 = 931,761/x
  3. Step 3: Cross multiply
    432,603x = 931,761 × 931,761
  4. Step 4: Simplify right side
    432,603x = 868,178,561,121
  5. Step 5: Solve for x
    x = 868,178,561,121/432,603
  6. Step 6: Final answer
    x = 2,006,871.34

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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.