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Finding the Third Proportional to 520,334 and 1,134,964

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Solution

The third proportional to 520,334 and 1,134,964 is: 2,475,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,334 : 1,134,964 = 1,134,964 : x
  2. Step 2: Convert to fraction form
    520,334/1,134,964 = 1,134,964/x
  3. Step 3: Cross multiply
    520,334x = 1,134,964 × 1,134,964
  4. Step 4: Simplify right side
    520,334x = 1,288,143,281,296
  5. Step 5: Solve for x
    x = 1,288,143,281,296/520,334
  6. Step 6: Final answer
    x = 2,475,608.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.