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Finding the Third Proportional to 517,459 and 1,131,106

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Solution

The third proportional to 517,459 and 1,131,106 is: 2,472,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,459 : 1,131,106 = 1,131,106 : x
  2. Step 2: Convert to fraction form
    517,459/1,131,106 = 1,131,106/x
  3. Step 3: Cross multiply
    517,459x = 1,131,106 × 1,131,106
  4. Step 4: Simplify right side
    517,459x = 1,279,400,783,236
  5. Step 5: Solve for x
    x = 1,279,400,783,236/517,459
  6. Step 6: Final answer
    x = 2,472,467.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.