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Finding the Third Proportional to 932,422 and 1,415,818

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Solution

The third proportional to 932,422 and 1,415,818 is: 2,149,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,422 : 1,415,818 = 1,415,818 : x
  2. Step 2: Convert to fraction form
    932,422/1,415,818 = 1,415,818/x
  3. Step 3: Cross multiply
    932,422x = 1,415,818 × 1,415,818
  4. Step 4: Simplify right side
    932,422x = 2,004,540,609,124
  5. Step 5: Solve for x
    x = 2,004,540,609,124/932,422
  6. Step 6: Final answer
    x = 2,149,821.23

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