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Finding the Third Proportional to 451,640 and 973,780

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Solution

The third proportional to 451,640 and 973,780 is: 2,099,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,640 : 973,780 = 973,780 : x
  2. Step 2: Convert to fraction form
    451,640/973,780 = 973,780/x
  3. Step 3: Cross multiply
    451,640x = 973,780 × 973,780
  4. Step 4: Simplify right side
    451,640x = 948,247,488,400
  5. Step 5: Solve for x
    x = 948,247,488,400/451,640
  6. Step 6: Final answer
    x = 2,099,564.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.