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Finding the Third Proportional to 432,601 and 931,759

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Solution

The third proportional to 432,601 and 931,759 is: 2,006,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,601 : 931,759 = 931,759 : x
  2. Step 2: Convert to fraction form
    432,601/931,759 = 931,759/x
  3. Step 3: Cross multiply
    432,601x = 931,759 × 931,759
  4. Step 4: Simplify right side
    432,601x = 868,174,834,081
  5. Step 5: Solve for x
    x = 868,174,834,081/432,601
  6. Step 6: Final answer
    x = 2,006,872.00

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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.