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Finding the Third Proportional to 608,838 and 969,639

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Solution

The third proportional to 608,838 and 969,639 is: 1,544,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,838 : 969,639 = 969,639 : x
  2. Step 2: Convert to fraction form
    608,838/969,639 = 969,639/x
  3. Step 3: Cross multiply
    608,838x = 969,639 × 969,639
  4. Step 4: Simplify right side
    608,838x = 940,199,790,321
  5. Step 5: Solve for x
    x = 940,199,790,321/608,838
  6. Step 6: Final answer
    x = 1,544,252.81

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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.