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Finding the Third Proportional to 1,200,263.06 and 1,840,484.53

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Solution

The third proportional to 1,200,263.06 and 1,840,484.53 is: 2,822,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,263.06 : 1,840,484.53 = 1,840,484.53 : x
  2. Step 2: Convert to fraction form
    1,200,263.06/1,840,484.53 = 1,840,484.53/x
  3. Step 3: Cross multiply
    1,200,263.06x = 1,840,484.53 × 1,840,484.53
  4. Step 4: Simplify right side
    1,200,263.06x = 3,387,383,309,770.53
  5. Step 5: Solve for x
    x = 3,387,383,309,770.53/1,200,263.06
  6. Step 6: Final answer
    x = 2,822,200.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.