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Finding the Third Proportional to 432,599.48 and 931,754.39

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Solution

The third proportional to 432,599.48 and 931,754.39 is: 2,006,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,599.48 : 931,754.39 = 931,754.39 : x
  2. Step 2: Convert to fraction form
    432,599.48/931,754.39 = 931,754.39/x
  3. Step 3: Cross multiply
    432,599.48x = 931,754.39 × 931,754.39
  4. Step 4: Simplify right side
    432,599.48x = 868,166,244,448.97
  5. Step 5: Solve for x
    x = 868,166,244,448.97/432,599.48
  6. Step 6: Final answer
    x = 2,006,859.18

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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.