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Finding the Third Proportional to 680,038 and 1,489,027

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Solution

The third proportional to 680,038 and 1,489,027 is: 3,260,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,038 : 1,489,027 = 1,489,027 : x
  2. Step 2: Convert to fraction form
    680,038/1,489,027 = 1,489,027/x
  3. Step 3: Cross multiply
    680,038x = 1,489,027 × 1,489,027
  4. Step 4: Simplify right side
    680,038x = 2,217,201,406,729
  5. Step 5: Solve for x
    x = 2,217,201,406,729/680,038
  6. Step 6: Final answer
    x = 3,260,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.