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Finding the Third Proportional to 811,446.19 and 1,731,498.19

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Solution

The third proportional to 811,446.19 and 1,731,498.19 is: 3,694,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,446.19 : 1,731,498.19 = 1,731,498.19 : x
  2. Step 2: Convert to fraction form
    811,446.19/1,731,498.19 = 1,731,498.19/x
  3. Step 3: Cross multiply
    811,446.19x = 1,731,498.19 × 1,731,498.19
  4. Step 4: Simplify right side
    811,446.19x = 2,998,085,973,315.79
  5. Step 5: Solve for x
    x = 2,998,085,973,315.79/811,446.19
  6. Step 6: Final answer
    x = 3,694,744.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.