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Finding the Third Proportional to 654,123 and 959,644.50

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Solution

The third proportional to 654,123 and 959,644.50 is: 1,407,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,123 : 959,644.50 = 959,644.50 : x
  2. Step 2: Convert to fraction form
    654,123/959,644.50 = 959,644.50/x
  3. Step 3: Cross multiply
    654,123x = 959,644.50 × 959,644.50
  4. Step 4: Simplify right side
    654,123x = 920,917,566,380.25
  5. Step 5: Solve for x
    x = 920,917,566,380.25/654,123
  6. Step 6: Final answer
    x = 1,407,866.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.