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Finding the Third Proportional to 945,314 and 1,414,670

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Solution

The third proportional to 945,314 and 1,414,670 is: 2,117,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,314 : 1,414,670 = 1,414,670 : x
  2. Step 2: Convert to fraction form
    945,314/1,414,670 = 1,414,670/x
  3. Step 3: Cross multiply
    945,314x = 1,414,670 × 1,414,670
  4. Step 4: Simplify right side
    945,314x = 2,001,291,208,900
  5. Step 5: Solve for x
    x = 2,001,291,208,900/945,314
  6. Step 6: Final answer
    x = 2,117,065.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.