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Finding the Third Proportional to 919,514 and 1,380,513

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Solution

The third proportional to 919,514 and 1,380,513 is: 2,072,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,514 : 1,380,513 = 1,380,513 : x
  2. Step 2: Convert to fraction form
    919,514/1,380,513 = 1,380,513/x
  3. Step 3: Cross multiply
    919,514x = 1,380,513 × 1,380,513
  4. Step 4: Simplify right side
    919,514x = 1,905,816,143,169
  5. Step 5: Solve for x
    x = 1,905,816,143,169/919,514
  6. Step 6: Final answer
    x = 2,072,634.18

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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.