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Finding the Third Proportional to 932,154 and 2,042,161

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Solution

The third proportional to 932,154 and 2,042,161 is: 4,473,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,154 : 2,042,161 = 2,042,161 : x
  2. Step 2: Convert to fraction form
    932,154/2,042,161 = 2,042,161/x
  3. Step 3: Cross multiply
    932,154x = 2,042,161 × 2,042,161
  4. Step 4: Simplify right side
    932,154x = 4,170,421,549,921
  5. Step 5: Solve for x
    x = 4,170,421,549,921/932,154
  6. Step 6: Final answer
    x = 4,473,961.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.