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Finding the Third Proportional to 621,096 and 940,963.50

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Solution

The third proportional to 621,096 and 940,963.50 is: 1,425,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,096 : 940,963.50 = 940,963.50 : x
  2. Step 2: Convert to fraction form
    621,096/940,963.50 = 940,963.50/x
  3. Step 3: Cross multiply
    621,096x = 940,963.50 × 940,963.50
  4. Step 4: Simplify right side
    621,096x = 885,412,308,332.25
  5. Step 5: Solve for x
    x = 885,412,308,332.25/621,096
  6. Step 6: Final answer
    x = 1,425,564.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.