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Finding the Third Proportional to 1,281,183 and 2,720,397

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Solution

The third proportional to 1,281,183 and 2,720,397 is: 5,776,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,183 : 2,720,397 = 2,720,397 : x
  2. Step 2: Convert to fraction form
    1,281,183/2,720,397 = 2,720,397/x
  3. Step 3: Cross multiply
    1,281,183x = 2,720,397 × 2,720,397
  4. Step 4: Simplify right side
    1,281,183x = 7,400,559,837,609
  5. Step 5: Solve for x
    x = 7,400,559,837,609/1,281,183
  6. Step 6: Final answer
    x = 5,776,348.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.