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Finding the Third Proportional to 784,169 and 1,701,081

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Solution

The third proportional to 784,169 and 1,701,081 is: 3,690,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,169 : 1,701,081 = 1,701,081 : x
  2. Step 2: Convert to fraction form
    784,169/1,701,081 = 1,701,081/x
  3. Step 3: Cross multiply
    784,169x = 1,701,081 × 1,701,081
  4. Step 4: Simplify right side
    784,169x = 2,893,676,568,561
  5. Step 5: Solve for x
    x = 2,893,676,568,561/784,169
  6. Step 6: Final answer
    x = 3,690,118.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.