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Finding the Third Proportional to 517,023 and 1,093,659

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Solution

The third proportional to 517,023 and 1,093,659 is: 2,313,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,023 : 1,093,659 = 1,093,659 : x
  2. Step 2: Convert to fraction form
    517,023/1,093,659 = 1,093,659/x
  3. Step 3: Cross multiply
    517,023x = 1,093,659 × 1,093,659
  4. Step 4: Simplify right side
    517,023x = 1,196,090,008,281
  5. Step 5: Solve for x
    x = 1,196,090,008,281/517,023
  6. Step 6: Final answer
    x = 2,313,417.41

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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.