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Finding the Third Proportional to 784,104 and 1,700,976

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Solution

The third proportional to 784,104 and 1,700,976 is: 3,689,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,104 : 1,700,976 = 1,700,976 : x
  2. Step 2: Convert to fraction form
    784,104/1,700,976 = 1,700,976/x
  3. Step 3: Cross multiply
    784,104x = 1,700,976 × 1,700,976
  4. Step 4: Simplify right side
    784,104x = 2,893,319,352,576
  5. Step 5: Solve for x
    x = 2,893,319,352,576/784,104
  6. Step 6: Final answer
    x = 3,689,968.87

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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.