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Finding the Third Proportional to 784,144 and 1,701,052

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Solution

The third proportional to 784,144 and 1,701,052 is: 3,690,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,144 : 1,701,052 = 1,701,052 : x
  2. Step 2: Convert to fraction form
    784,144/1,701,052 = 1,701,052/x
  3. Step 3: Cross multiply
    784,144x = 1,701,052 × 1,701,052
  4. Step 4: Simplify right side
    784,144x = 2,893,577,906,704
  5. Step 5: Solve for x
    x = 2,893,577,906,704/784,144
  6. Step 6: Final answer
    x = 3,690,110.37

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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.