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Finding the Third Proportional to 1,181,310.75 and 1,832,598

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Solution

The third proportional to 1,181,310.75 and 1,832,598 is: 2,842,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,310.75 : 1,832,598 = 1,832,598 : x
  2. Step 2: Convert to fraction form
    1,181,310.75/1,832,598 = 1,832,598/x
  3. Step 3: Cross multiply
    1,181,310.75x = 1,832,598 × 1,832,598
  4. Step 4: Simplify right side
    1,181,310.75x = 3,358,415,429,604
  5. Step 5: Solve for x
    x = 3,358,415,429,604/1,181,310.75
  6. Step 6: Final answer
    x = 2,842,956.80

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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.