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Finding the Third Proportional to 670,272 and 1,460,980

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Solution

The third proportional to 670,272 and 1,460,980 is: 3,184,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,272 : 1,460,980 = 1,460,980 : x
  2. Step 2: Convert to fraction form
    670,272/1,460,980 = 1,460,980/x
  3. Step 3: Cross multiply
    670,272x = 1,460,980 × 1,460,980
  4. Step 4: Simplify right side
    670,272x = 2,134,462,560,400
  5. Step 5: Solve for x
    x = 2,134,462,560,400/670,272
  6. Step 6: Final answer
    x = 3,184,472.21

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