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Finding the Third Proportional to 450,549.84 and 984,182.91

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Solution

The third proportional to 450,549.84 and 984,182.91 is: 2,149,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,549.84 : 984,182.91 = 984,182.91 : x
  2. Step 2: Convert to fraction form
    450,549.84/984,182.91 = 984,182.91/x
  3. Step 3: Cross multiply
    450,549.84x = 984,182.91 × 984,182.91
  4. Step 4: Simplify right side
    450,549.84x = 968,615,992,954.70
  5. Step 5: Solve for x
    x = 968,615,992,954.70/450,549.84
  6. Step 6: Final answer
    x = 2,149,853.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.