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Finding the Third Proportional to 833,139 and 1,261,393

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Solution

The third proportional to 833,139 and 1,261,393 is: 1,909,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,139 : 1,261,393 = 1,261,393 : x
  2. Step 2: Convert to fraction form
    833,139/1,261,393 = 1,261,393/x
  3. Step 3: Cross multiply
    833,139x = 1,261,393 × 1,261,393
  4. Step 4: Simplify right side
    833,139x = 1,591,112,300,449
  5. Step 5: Solve for x
    x = 1,591,112,300,449/833,139
  6. Step 6: Final answer
    x = 1,909,780.12

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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.