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Finding the Third Proportional to 517,030 and 1,093,674

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Solution

The third proportional to 517,030 and 1,093,674 is: 2,313,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,030 : 1,093,674 = 1,093,674 : x
  2. Step 2: Convert to fraction form
    517,030/1,093,674 = 1,093,674/x
  3. Step 3: Cross multiply
    517,030x = 1,093,674 × 1,093,674
  4. Step 4: Simplify right side
    517,030x = 1,196,122,818,276
  5. Step 5: Solve for x
    x = 1,196,122,818,276/517,030
  6. Step 6: Final answer
    x = 2,313,449.55

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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.