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Finding the Third Proportional to 811,838 and 1,261,943

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Solution

The third proportional to 811,838 and 1,261,943 is: 1,961,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,838 : 1,261,943 = 1,261,943 : x
  2. Step 2: Convert to fraction form
    811,838/1,261,943 = 1,261,943/x
  3. Step 3: Cross multiply
    811,838x = 1,261,943 × 1,261,943
  4. Step 4: Simplify right side
    811,838x = 1,592,500,135,249
  5. Step 5: Solve for x
    x = 1,592,500,135,249/811,838
  6. Step 6: Final answer
    x = 1,961,598.42

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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.