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Finding the Third Proportional to 813,026 and 1,207,749

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Solution

The third proportional to 813,026 and 1,207,749 is: 1,794,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,026 : 1,207,749 = 1,207,749 : x
  2. Step 2: Convert to fraction form
    813,026/1,207,749 = 1,207,749/x
  3. Step 3: Cross multiply
    813,026x = 1,207,749 × 1,207,749
  4. Step 4: Simplify right side
    813,026x = 1,458,657,647,001
  5. Step 5: Solve for x
    x = 1,458,657,647,001/813,026
  6. Step 6: Final answer
    x = 1,794,109.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.