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Finding the Third Proportional to 460,326 and 984,612

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Solution

The third proportional to 460,326 and 984,612 is: 2,106,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,326 : 984,612 = 984,612 : x
  2. Step 2: Convert to fraction form
    460,326/984,612 = 984,612/x
  3. Step 3: Cross multiply
    460,326x = 984,612 × 984,612
  4. Step 4: Simplify right side
    460,326x = 969,460,790,544
  5. Step 5: Solve for x
    x = 969,460,790,544/460,326
  6. Step 6: Final answer
    x = 2,106,030.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.