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Finding the Third Proportional to 1,225,769 and 1,902,405

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Solution

The third proportional to 1,225,769 and 1,902,405 is: 2,952,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,769 : 1,902,405 = 1,902,405 : x
  2. Step 2: Convert to fraction form
    1,225,769/1,902,405 = 1,902,405/x
  3. Step 3: Cross multiply
    1,225,769x = 1,902,405 × 1,902,405
  4. Step 4: Simplify right side
    1,225,769x = 3,619,144,784,025
  5. Step 5: Solve for x
    x = 3,619,144,784,025/1,225,769
  6. Step 6: Final answer
    x = 2,952,550.43

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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.