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Finding the Third Proportional to 866,632.50 and 1,932,423.75

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Solution

The third proportional to 866,632.50 and 1,932,423.75 is: 4,308,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,632.50 : 1,932,423.75 = 1,932,423.75 : x
  2. Step 2: Convert to fraction form
    866,632.50/1,932,423.75 = 1,932,423.75/x
  3. Step 3: Cross multiply
    866,632.50x = 1,932,423.75 × 1,932,423.75
  4. Step 4: Simplify right side
    866,632.50x = 3,734,261,549,564.06
  5. Step 5: Solve for x
    x = 3,734,261,549,564.06/866,632.50
  6. Step 6: Final answer
    x = 4,308,933.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.