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Finding the Third Proportional to 641,906 and 993,408

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Solution

The third proportional to 641,906 and 993,408 is: 1,537,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,906 : 993,408 = 993,408 : x
  2. Step 2: Convert to fraction form
    641,906/993,408 = 993,408/x
  3. Step 3: Cross multiply
    641,906x = 993,408 × 993,408
  4. Step 4: Simplify right side
    641,906x = 986,859,454,464
  5. Step 5: Solve for x
    x = 986,859,454,464/641,906
  6. Step 6: Final answer
    x = 1,537,389.36

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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.