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Finding the Third Proportional to 641,542 and 993,254

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Solution

The third proportional to 641,542 and 993,254 is: 1,537,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,542 : 993,254 = 993,254 : x
  2. Step 2: Convert to fraction form
    641,542/993,254 = 993,254/x
  3. Step 3: Cross multiply
    641,542x = 993,254 × 993,254
  4. Step 4: Simplify right side
    641,542x = 986,553,508,516
  5. Step 5: Solve for x
    x = 986,553,508,516/641,542
  6. Step 6: Final answer
    x = 1,537,784.76

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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.