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Finding the Third Proportional to 919,644 and 1,418,830

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Solution

The third proportional to 919,644 and 1,418,830 is: 2,188,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,644 : 1,418,830 = 1,418,830 : x
  2. Step 2: Convert to fraction form
    919,644/1,418,830 = 1,418,830/x
  3. Step 3: Cross multiply
    919,644x = 1,418,830 × 1,418,830
  4. Step 4: Simplify right side
    919,644x = 2,013,078,568,900
  5. Step 5: Solve for x
    x = 2,013,078,568,900/919,644
  6. Step 6: Final answer
    x = 2,188,975.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.