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Finding the Third Proportional to 773,976 and 1,165,500

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Solution

The third proportional to 773,976 and 1,165,500 is: 1,755,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,976 : 1,165,500 = 1,165,500 : x
  2. Step 2: Convert to fraction form
    773,976/1,165,500 = 1,165,500/x
  3. Step 3: Cross multiply
    773,976x = 1,165,500 × 1,165,500
  4. Step 4: Simplify right side
    773,976x = 1,358,390,250,000
  5. Step 5: Solve for x
    x = 1,358,390,250,000/773,976
  6. Step 6: Final answer
    x = 1,755,080.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.