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Finding the Third Proportional to 670,269 and 1,460,976

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Solution

The third proportional to 670,269 and 1,460,976 is: 3,184,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,269 : 1,460,976 = 1,460,976 : x
  2. Step 2: Convert to fraction form
    670,269/1,460,976 = 1,460,976/x
  3. Step 3: Cross multiply
    670,269x = 1,460,976 × 1,460,976
  4. Step 4: Simplify right side
    670,269x = 2,134,450,872,576
  5. Step 5: Solve for x
    x = 2,134,450,872,576/670,269
  6. Step 6: Final answer
    x = 3,184,469.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.