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Finding the Third Proportional to 1,100,958 and 1,701,537

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Solution

The third proportional to 1,100,958 and 1,701,537 is: 2,629,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,958 : 1,701,537 = 1,701,537 : x
  2. Step 2: Convert to fraction form
    1,100,958/1,701,537 = 1,701,537/x
  3. Step 3: Cross multiply
    1,100,958x = 1,701,537 × 1,701,537
  4. Step 4: Simplify right side
    1,100,958x = 2,895,228,162,369
  5. Step 5: Solve for x
    x = 2,895,228,162,369/1,100,958
  6. Step 6: Final answer
    x = 2,629,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.