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Finding the Third Proportional to 948,225 and 1,467,265.50

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Solution

The third proportional to 948,225 and 1,467,265.50 is: 2,270,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,225 : 1,467,265.50 = 1,467,265.50 : x
  2. Step 2: Convert to fraction form
    948,225/1,467,265.50 = 1,467,265.50/x
  3. Step 3: Cross multiply
    948,225x = 1,467,265.50 × 1,467,265.50
  4. Step 4: Simplify right side
    948,225x = 2,152,868,047,490.25
  5. Step 5: Solve for x
    x = 2,152,868,047,490.25/948,225
  6. Step 6: Final answer
    x = 2,270,418.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.