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Finding the Third Proportional to 641,928 and 993,430

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Solution

The third proportional to 641,928 and 993,430 is: 1,537,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,928 : 993,430 = 993,430 : x
  2. Step 2: Convert to fraction form
    641,928/993,430 = 993,430/x
  3. Step 3: Cross multiply
    641,928x = 993,430 × 993,430
  4. Step 4: Simplify right side
    641,928x = 986,903,164,900
  5. Step 5: Solve for x
    x = 986,903,164,900/641,928
  6. Step 6: Final answer
    x = 1,537,404.76

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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.