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Finding the Third Proportional to 461,706 and 693,897

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Solution

The third proportional to 461,706 and 693,897 is: 1,042,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,706 : 693,897 = 693,897 : x
  2. Step 2: Convert to fraction form
    461,706/693,897 = 693,897/x
  3. Step 3: Cross multiply
    461,706x = 693,897 × 693,897
  4. Step 4: Simplify right side
    461,706x = 481,493,046,609
  5. Step 5: Solve for x
    x = 481,493,046,609/461,706
  6. Step 6: Final answer
    x = 1,042,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.