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Finding the Third Proportional to 670,262 and 1,460,962

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Solution

The third proportional to 670,262 and 1,460,962 is: 3,184,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,262 : 1,460,962 = 1,460,962 : x
  2. Step 2: Convert to fraction form
    670,262/1,460,962 = 1,460,962/x
  3. Step 3: Cross multiply
    670,262x = 1,460,962 × 1,460,962
  4. Step 4: Simplify right side
    670,262x = 2,134,409,965,444
  5. Step 5: Solve for x
    x = 2,134,409,965,444/670,262
  6. Step 6: Final answer
    x = 3,184,441.26

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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.