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Finding the Third Proportional to 435,552 and 923,991

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Solution

The third proportional to 435,552 and 923,991 is: 1,960,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,552 : 923,991 = 923,991 : x
  2. Step 2: Convert to fraction form
    435,552/923,991 = 923,991/x
  3. Step 3: Cross multiply
    435,552x = 923,991 × 923,991
  4. Step 4: Simplify right side
    435,552x = 853,759,368,081
  5. Step 5: Solve for x
    x = 853,759,368,081/435,552
  6. Step 6: Final answer
    x = 1,960,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.