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Finding the Third Proportional to 651,256 and 1,407,811

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Solution

The third proportional to 651,256 and 1,407,811 is: 3,043,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,256 : 1,407,811 = 1,407,811 : x
  2. Step 2: Convert to fraction form
    651,256/1,407,811 = 1,407,811/x
  3. Step 3: Cross multiply
    651,256x = 1,407,811 × 1,407,811
  4. Step 4: Simplify right side
    651,256x = 1,981,931,811,721
  5. Step 5: Solve for x
    x = 1,981,931,811,721/651,256
  6. Step 6: Final answer
    x = 3,043,245.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.