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Finding the Third Proportional to 651,144 and 1,407,564

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Solution

The third proportional to 651,144 and 1,407,564 is: 3,042,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,144 : 1,407,564 = 1,407,564 : x
  2. Step 2: Convert to fraction form
    651,144/1,407,564 = 1,407,564/x
  3. Step 3: Cross multiply
    651,144x = 1,407,564 × 1,407,564
  4. Step 4: Simplify right side
    651,144x = 1,981,236,414,096
  5. Step 5: Solve for x
    x = 1,981,236,414,096/651,144
  6. Step 6: Final answer
    x = 3,042,700.87

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