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Finding the Third Proportional to 610,806 and 951,108

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Solution

The third proportional to 610,806 and 951,108 is: 1,481,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,806 : 951,108 = 951,108 : x
  2. Step 2: Convert to fraction form
    610,806/951,108 = 951,108/x
  3. Step 3: Cross multiply
    610,806x = 951,108 × 951,108
  4. Step 4: Simplify right side
    610,806x = 904,606,427,664
  5. Step 5: Solve for x
    x = 904,606,427,664/610,806
  6. Step 6: Final answer
    x = 1,481,004.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.