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Finding the Third Proportional to 641,886 and 993,384

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Solution

The third proportional to 641,886 and 993,384 is: 1,537,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,886 : 993,384 = 993,384 : x
  2. Step 2: Convert to fraction form
    641,886/993,384 = 993,384/x
  3. Step 3: Cross multiply
    641,886x = 993,384 × 993,384
  4. Step 4: Simplify right side
    641,886x = 986,811,771,456
  5. Step 5: Solve for x
    x = 986,811,771,456/641,886
  6. Step 6: Final answer
    x = 1,537,362.98

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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.