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Finding the Third Proportional to 513,405 and 1,059,534

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Solution

The third proportional to 513,405 and 1,059,534 is: 2,186,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,405 : 1,059,534 = 1,059,534 : x
  2. Step 2: Convert to fraction form
    513,405/1,059,534 = 1,059,534/x
  3. Step 3: Cross multiply
    513,405x = 1,059,534 × 1,059,534
  4. Step 4: Simplify right side
    513,405x = 1,122,612,297,156
  5. Step 5: Solve for x
    x = 1,122,612,297,156/513,405
  6. Step 6: Final answer
    x = 2,186,601.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.