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Finding the Third Proportional to 608,822 and 969,615

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Solution

The third proportional to 608,822 and 969,615 is: 1,544,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,822 : 969,615 = 969,615 : x
  2. Step 2: Convert to fraction form
    608,822/969,615 = 969,615/x
  3. Step 3: Cross multiply
    608,822x = 969,615 × 969,615
  4. Step 4: Simplify right side
    608,822x = 940,153,248,225
  5. Step 5: Solve for x
    x = 940,153,248,225/608,822
  6. Step 6: Final answer
    x = 1,544,216.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.