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Finding the Third Proportional to 529,758 and 1,127,799

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Solution

The third proportional to 529,758 and 1,127,799 is: 2,400,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,758 : 1,127,799 = 1,127,799 : x
  2. Step 2: Convert to fraction form
    529,758/1,127,799 = 1,127,799/x
  3. Step 3: Cross multiply
    529,758x = 1,127,799 × 1,127,799
  4. Step 4: Simplify right side
    529,758x = 1,271,930,584,401
  5. Step 5: Solve for x
    x = 1,271,930,584,401/529,758
  6. Step 6: Final answer
    x = 2,400,965.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.