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Finding the Third Proportional to 621,097 and 940,960

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Solution

The third proportional to 621,097 and 940,960 is: 1,425,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,097 : 940,960 = 940,960 : x
  2. Step 2: Convert to fraction form
    621,097/940,960 = 940,960/x
  3. Step 3: Cross multiply
    621,097x = 940,960 × 940,960
  4. Step 4: Simplify right side
    621,097x = 885,405,721,600
  5. Step 5: Solve for x
    x = 885,405,721,600/621,097
  6. Step 6: Final answer
    x = 1,425,551.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.