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Finding the Third Proportional to 519,561 and 1,118,034

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Solution

The third proportional to 519,561 and 1,118,034 is: 2,405,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,561 : 1,118,034 = 1,118,034 : x
  2. Step 2: Convert to fraction form
    519,561/1,118,034 = 1,118,034/x
  3. Step 3: Cross multiply
    519,561x = 1,118,034 × 1,118,034
  4. Step 4: Simplify right side
    519,561x = 1,250,000,025,156
  5. Step 5: Solve for x
    x = 1,250,000,025,156/519,561
  6. Step 6: Final answer
    x = 2,405,877.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.