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Finding the Third Proportional to 932,424 and 1,415,821

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Solution

The third proportional to 932,424 and 1,415,821 is: 2,149,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,424 : 1,415,821 = 1,415,821 : x
  2. Step 2: Convert to fraction form
    932,424/1,415,821 = 1,415,821/x
  3. Step 3: Cross multiply
    932,424x = 1,415,821 × 1,415,821
  4. Step 4: Simplify right side
    932,424x = 2,004,549,104,041
  5. Step 5: Solve for x
    x = 2,004,549,104,041/932,424
  6. Step 6: Final answer
    x = 2,149,825.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.