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Finding the Third Proportional to 591,199.50 and 1,292,820

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Solution

The third proportional to 591,199.50 and 1,292,820 is: 2,827,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,199.50 : 1,292,820 = 1,292,820 : x
  2. Step 2: Convert to fraction form
    591,199.50/1,292,820 = 1,292,820/x
  3. Step 3: Cross multiply
    591,199.50x = 1,292,820 × 1,292,820
  4. Step 4: Simplify right side
    591,199.50x = 1,671,383,552,400
  5. Step 5: Solve for x
    x = 1,671,383,552,400/591,199.50
  6. Step 6: Final answer
    x = 2,827,105.83

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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.