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Finding the Third Proportional to 811,240 and 1,261,109

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Solution

The third proportional to 811,240 and 1,261,109 is: 1,960,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,240 : 1,261,109 = 1,261,109 : x
  2. Step 2: Convert to fraction form
    811,240/1,261,109 = 1,261,109/x
  3. Step 3: Cross multiply
    811,240x = 1,261,109 × 1,261,109
  4. Step 4: Simplify right side
    811,240x = 1,590,395,909,881
  5. Step 5: Solve for x
    x = 1,590,395,909,881/811,240
  6. Step 6: Final answer
    x = 1,960,450.56

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Why These Related Problems?

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