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Finding the Third Proportional to 591,192 and 1,292,805

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Solution

The third proportional to 591,192 and 1,292,805 is: 2,827,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,192 : 1,292,805 = 1,292,805 : x
  2. Step 2: Convert to fraction form
    591,192/1,292,805 = 1,292,805/x
  3. Step 3: Cross multiply
    591,192x = 1,292,805 × 1,292,805
  4. Step 4: Simplify right side
    591,192x = 1,671,344,768,025
  5. Step 5: Solve for x
    x = 1,671,344,768,025/591,192
  6. Step 6: Final answer
    x = 2,827,076.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.