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Finding the Third Proportional to 1,121,697 and 1,740,163

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Solution

The third proportional to 1,121,697 and 1,740,163 is: 2,699,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,697 : 1,740,163 = 1,740,163 : x
  2. Step 2: Convert to fraction form
    1,121,697/1,740,163 = 1,740,163/x
  3. Step 3: Cross multiply
    1,121,697x = 1,740,163 × 1,740,163
  4. Step 4: Simplify right side
    1,121,697x = 3,028,167,266,569
  5. Step 5: Solve for x
    x = 3,028,167,266,569/1,121,697
  6. Step 6: Final answer
    x = 2,699,630.35

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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.