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Finding the Third Proportional to 608,821 and 969,607.50

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Solution

The third proportional to 608,821 and 969,607.50 is: 1,544,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,821 : 969,607.50 = 969,607.50 : x
  2. Step 2: Convert to fraction form
    608,821/969,607.50 = 969,607.50/x
  3. Step 3: Cross multiply
    608,821x = 969,607.50 × 969,607.50
  4. Step 4: Simplify right side
    608,821x = 940,138,704,056.25
  5. Step 5: Solve for x
    x = 940,138,704,056.25/608,821
  6. Step 6: Final answer
    x = 1,544,195.59

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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.