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Finding the Third Proportional to 641,054 and 996,576

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Solution

The third proportional to 641,054 and 996,576 is: 1,549,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,054 : 996,576 = 996,576 : x
  2. Step 2: Convert to fraction form
    641,054/996,576 = 996,576/x
  3. Step 3: Cross multiply
    641,054x = 996,576 × 996,576
  4. Step 4: Simplify right side
    641,054x = 993,163,723,776
  5. Step 5: Solve for x
    x = 993,163,723,776/641,054
  6. Step 6: Final answer
    x = 1,549,266.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.