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Finding the Third Proportional to 517,588 and 1,097,384

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Solution

The third proportional to 517,588 and 1,097,384 is: 2,326,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,588 : 1,097,384 = 1,097,384 : x
  2. Step 2: Convert to fraction form
    517,588/1,097,384 = 1,097,384/x
  3. Step 3: Cross multiply
    517,588x = 1,097,384 × 1,097,384
  4. Step 4: Simplify right side
    517,588x = 1,204,251,643,456
  5. Step 5: Solve for x
    x = 1,204,251,643,456/517,588
  6. Step 6: Final answer
    x = 2,326,660.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.