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Finding the Third Proportional to 351,914 and 829,897

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Solution

The third proportional to 351,914 and 829,897 is: 1,957,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,914 : 829,897 = 829,897 : x
  2. Step 2: Convert to fraction form
    351,914/829,897 = 829,897/x
  3. Step 3: Cross multiply
    351,914x = 829,897 × 829,897
  4. Step 4: Simplify right side
    351,914x = 688,729,030,609
  5. Step 5: Solve for x
    x = 688,729,030,609/351,914
  6. Step 6: Final answer
    x = 1,957,094.72

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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.