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Finding the Third Proportional to 641,932 and 993,437

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Solution

The third proportional to 641,932 and 993,437 is: 1,537,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,932 : 993,437 = 993,437 : x
  2. Step 2: Convert to fraction form
    641,932/993,437 = 993,437/x
  3. Step 3: Cross multiply
    641,932x = 993,437 × 993,437
  4. Step 4: Simplify right side
    641,932x = 986,917,072,969
  5. Step 5: Solve for x
    x = 986,917,072,969/641,932
  6. Step 6: Final answer
    x = 1,537,416.85

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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.