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Finding the Third Proportional to 519,266 and 1,077,988

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Solution

The third proportional to 519,266 and 1,077,988 is: 2,237,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,266 : 1,077,988 = 1,077,988 : x
  2. Step 2: Convert to fraction form
    519,266/1,077,988 = 1,077,988/x
  3. Step 3: Cross multiply
    519,266x = 1,077,988 × 1,077,988
  4. Step 4: Simplify right side
    519,266x = 1,162,058,128,144
  5. Step 5: Solve for x
    x = 1,162,058,128,144/519,266
  6. Step 6: Final answer
    x = 2,237,886.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.