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Finding the Third Proportional to 651,650 and 954,147

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Solution

The third proportional to 651,650 and 954,147 is: 1,397,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,650 : 954,147 = 954,147 : x
  2. Step 2: Convert to fraction form
    651,650/954,147 = 954,147/x
  3. Step 3: Cross multiply
    651,650x = 954,147 × 954,147
  4. Step 4: Simplify right side
    651,650x = 910,396,497,609
  5. Step 5: Solve for x
    x = 910,396,497,609/651,650
  6. Step 6: Final answer
    x = 1,397,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.