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Finding the Third Proportional to 689,666 and 1,503,484

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Solution

The third proportional to 689,666 and 1,503,484 is: 3,277,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,666 : 1,503,484 = 1,503,484 : x
  2. Step 2: Convert to fraction form
    689,666/1,503,484 = 1,503,484/x
  3. Step 3: Cross multiply
    689,666x = 1,503,484 × 1,503,484
  4. Step 4: Simplify right side
    689,666x = 2,260,464,138,256
  5. Step 5: Solve for x
    x = 2,260,464,138,256/689,666
  6. Step 6: Final answer
    x = 3,277,621.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.