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Finding the Third Proportional to 932,147 and 2,042,147

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Solution

The third proportional to 932,147 and 2,042,147 is: 4,473,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,147 : 2,042,147 = 2,042,147 : x
  2. Step 2: Convert to fraction form
    932,147/2,042,147 = 2,042,147/x
  3. Step 3: Cross multiply
    932,147x = 2,042,147 × 2,042,147
  4. Step 4: Simplify right side
    932,147x = 4,170,364,369,609
  5. Step 5: Solve for x
    x = 4,170,364,369,609/932,147
  6. Step 6: Final answer
    x = 4,473,934.23

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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.