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Finding the Third Proportional to 517,393 and 1,110,386

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Solution

The third proportional to 517,393 and 1,110,386 is: 2,383,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,393 : 1,110,386 = 1,110,386 : x
  2. Step 2: Convert to fraction form
    517,393/1,110,386 = 1,110,386/x
  3. Step 3: Cross multiply
    517,393x = 1,110,386 × 1,110,386
  4. Step 4: Simplify right side
    517,393x = 1,232,957,068,996
  5. Step 5: Solve for x
    x = 1,232,957,068,996/517,393
  6. Step 6: Final answer
    x = 2,383,018.46

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Why These Related Problems?

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