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Finding the Third Proportional to 351,897 and 829,881

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Solution

The third proportional to 351,897 and 829,881 is: 1,957,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,897 : 829,881 = 829,881 : x
  2. Step 2: Convert to fraction form
    351,897/829,881 = 829,881/x
  3. Step 3: Cross multiply
    351,897x = 829,881 × 829,881
  4. Step 4: Simplify right side
    351,897x = 688,702,474,161
  5. Step 5: Solve for x
    x = 688,702,474,161/351,897
  6. Step 6: Final answer
    x = 1,957,113.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.