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Finding the Third Proportional to 452,558.81 and 942,661.13

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Solution

The third proportional to 452,558.81 and 942,661.13 is: 1,963,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,558.81 : 942,661.13 = 942,661.13 : x
  2. Step 2: Convert to fraction form
    452,558.81/942,661.13 = 942,661.13/x
  3. Step 3: Cross multiply
    452,558.81x = 942,661.13 × 942,661.13
  4. Step 4: Simplify right side
    452,558.81x = 888,609,996,586.27
  5. Step 5: Solve for x
    x = 888,609,996,586.27/452,558.81
  6. Step 6: Final answer
    x = 1,963,523.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.