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Finding the Third Proportional to 945,519.75 and 1,414,938.38

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Solution

The third proportional to 945,519.75 and 1,414,938.38 is: 2,117,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,519.75 : 1,414,938.38 = 1,414,938.38 : x
  2. Step 2: Convert to fraction form
    945,519.75/1,414,938.38 = 1,414,938.38/x
  3. Step 3: Cross multiply
    945,519.75x = 1,414,938.38 × 1,414,938.38
  4. Step 4: Simplify right side
    945,519.75x = 2,002,050,605,047.64
  5. Step 5: Solve for x
    x = 2,002,050,605,047.64/945,519.75
  6. Step 6: Final answer
    x = 2,117,407.49

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Why These Related Problems?

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