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Finding the Third Proportional to 784,167 and 1,701,077

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Solution

The third proportional to 784,167 and 1,701,077 is: 3,690,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,167 : 1,701,077 = 1,701,077 : x
  2. Step 2: Convert to fraction form
    784,167/1,701,077 = 1,701,077/x
  3. Step 3: Cross multiply
    784,167x = 1,701,077 × 1,701,077
  4. Step 4: Simplify right side
    784,167x = 2,893,662,959,929
  5. Step 5: Solve for x
    x = 2,893,662,959,929/784,167
  6. Step 6: Final answer
    x = 3,690,110.60

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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.