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Finding the Third Proportional to 984,453.75 and 1,518,680.25

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Solution

The third proportional to 984,453.75 and 1,518,680.25 is: 2,342,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,453.75 : 1,518,680.25 = 1,518,680.25 : x
  2. Step 2: Convert to fraction form
    984,453.75/1,518,680.25 = 1,518,680.25/x
  3. Step 3: Cross multiply
    984,453.75x = 1,518,680.25 × 1,518,680.25
  4. Step 4: Simplify right side
    984,453.75x = 2,306,389,701,740.06
  5. Step 5: Solve for x
    x = 2,306,389,701,740.06/984,453.75
  6. Step 6: Final answer
    x = 2,342,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.