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Finding the Third Proportional to 784,124 and 1,701,016

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Solution

The third proportional to 784,124 and 1,701,016 is: 3,690,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,124 : 1,701,016 = 1,701,016 : x
  2. Step 2: Convert to fraction form
    784,124/1,701,016 = 1,701,016/x
  3. Step 3: Cross multiply
    784,124x = 1,701,016 × 1,701,016
  4. Step 4: Simplify right side
    784,124x = 2,893,455,432,256
  5. Step 5: Solve for x
    x = 2,893,455,432,256/784,124
  6. Step 6: Final answer
    x = 3,690,048.30

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