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Finding the Third Proportional to 421,340 and 921,505.75

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Solution

The third proportional to 421,340 and 921,505.75 is: 2,015,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,340 : 921,505.75 = 921,505.75 : x
  2. Step 2: Convert to fraction form
    421,340/921,505.75 = 921,505.75/x
  3. Step 3: Cross multiply
    421,340x = 921,505.75 × 921,505.75
  4. Step 4: Simplify right side
    421,340x = 849,172,847,283.06
  5. Step 5: Solve for x
    x = 849,172,847,283.06/421,340
  6. Step 6: Final answer
    x = 2,015,409.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.