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Finding the Third Proportional to 840,732 and 1,269,819

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Solution

The third proportional to 840,732 and 1,269,819 is: 1,917,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,732 : 1,269,819 = 1,269,819 : x
  2. Step 2: Convert to fraction form
    840,732/1,269,819 = 1,269,819/x
  3. Step 3: Cross multiply
    840,732x = 1,269,819 × 1,269,819
  4. Step 4: Simplify right side
    840,732x = 1,612,440,292,761
  5. Step 5: Solve for x
    x = 1,612,440,292,761/840,732
  6. Step 6: Final answer
    x = 1,917,900.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.