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Finding the Third Proportional to 912,449.25 and 1,882,732.50

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Solution

The third proportional to 912,449.25 and 1,882,732.50 is: 3,884,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,449.25 : 1,882,732.50 = 1,882,732.50 : x
  2. Step 2: Convert to fraction form
    912,449.25/1,882,732.50 = 1,882,732.50/x
  3. Step 3: Cross multiply
    912,449.25x = 1,882,732.50 × 1,882,732.50
  4. Step 4: Simplify right side
    912,449.25x = 3,544,681,666,556.25
  5. Step 5: Solve for x
    x = 3,544,681,666,556.25/912,449.25
  6. Step 6: Final answer
    x = 3,884,798.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.