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Finding the Third Proportional to 833,172 and 1,261,431

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Solution

The third proportional to 833,172 and 1,261,431 is: 1,909,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,172 : 1,261,431 = 1,261,431 : x
  2. Step 2: Convert to fraction form
    833,172/1,261,431 = 1,261,431/x
  3. Step 3: Cross multiply
    833,172x = 1,261,431 × 1,261,431
  4. Step 4: Simplify right side
    833,172x = 1,591,208,167,761
  5. Step 5: Solve for x
    x = 1,591,208,167,761/833,172
  6. Step 6: Final answer
    x = 1,909,819.54

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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.