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Finding the Third Proportional to 451,086 and 1,068,639

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Solution

The third proportional to 451,086 and 1,068,639 is: 2,531,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,086 : 1,068,639 = 1,068,639 : x
  2. Step 2: Convert to fraction form
    451,086/1,068,639 = 1,068,639/x
  3. Step 3: Cross multiply
    451,086x = 1,068,639 × 1,068,639
  4. Step 4: Simplify right side
    451,086x = 1,141,989,312,321
  5. Step 5: Solve for x
    x = 1,141,989,312,321/451,086
  6. Step 6: Final answer
    x = 2,531,644.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.