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Finding the Third Proportional to 689,366 and 1,034,777

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Solution

The third proportional to 689,366 and 1,034,777 is: 1,553,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,366 : 1,034,777 = 1,034,777 : x
  2. Step 2: Convert to fraction form
    689,366/1,034,777 = 1,034,777/x
  3. Step 3: Cross multiply
    689,366x = 1,034,777 × 1,034,777
  4. Step 4: Simplify right side
    689,366x = 1,070,763,439,729
  5. Step 5: Solve for x
    x = 1,070,763,439,729/689,366
  6. Step 6: Final answer
    x = 1,553,258.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.