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Finding the Third Proportional to 704,096 and 1,514,324

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Solution

The third proportional to 704,096 and 1,514,324 is: 3,256,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,096 : 1,514,324 = 1,514,324 : x
  2. Step 2: Convert to fraction form
    704,096/1,514,324 = 1,514,324/x
  3. Step 3: Cross multiply
    704,096x = 1,514,324 × 1,514,324
  4. Step 4: Simplify right side
    704,096x = 2,293,177,176,976
  5. Step 5: Solve for x
    x = 2,293,177,176,976/704,096
  6. Step 6: Final answer
    x = 3,256,909.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.