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Finding the Third Proportional to 705,077 and 1,059,179

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Solution

The third proportional to 705,077 and 1,059,179 is: 1,591,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,077 : 1,059,179 = 1,059,179 : x
  2. Step 2: Convert to fraction form
    705,077/1,059,179 = 1,059,179/x
  3. Step 3: Cross multiply
    705,077x = 1,059,179 × 1,059,179
  4. Step 4: Simplify right side
    705,077x = 1,121,860,154,041
  5. Step 5: Solve for x
    x = 1,121,860,154,041/705,077
  6. Step 6: Final answer
    x = 1,591,117.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.