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Finding the Third Proportional to 450,009.42 and 984,081.66

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Solution

The third proportional to 450,009.42 and 984,081.66 is: 2,151,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,009.42 : 984,081.66 = 984,081.66 : x
  2. Step 2: Convert to fraction form
    450,009.42/984,081.66 = 984,081.66/x
  3. Step 3: Cross multiply
    450,009.42x = 984,081.66 × 984,081.66
  4. Step 4: Simplify right side
    450,009.42x = 968,416,706,167.74
  5. Step 5: Solve for x
    x = 968,416,706,167.74/450,009.42
  6. Step 6: Final answer
    x = 2,151,992.07

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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.