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Finding the Third Proportional to 891,024 and 1,921,152

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Solution

The third proportional to 891,024 and 1,921,152 is: 4,142,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,024 : 1,921,152 = 1,921,152 : x
  2. Step 2: Convert to fraction form
    891,024/1,921,152 = 1,921,152/x
  3. Step 3: Cross multiply
    891,024x = 1,921,152 × 1,921,152
  4. Step 4: Simplify right side
    891,024x = 3,690,825,007,104
  5. Step 5: Solve for x
    x = 3,690,825,007,104/891,024
  6. Step 6: Final answer
    x = 4,142,228.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.