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Finding the Third Proportional to 513,877 and 1,106,491

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Solution

The third proportional to 513,877 and 1,106,491 is: 2,382,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,877 : 1,106,491 = 1,106,491 : x
  2. Step 2: Convert to fraction form
    513,877/1,106,491 = 1,106,491/x
  3. Step 3: Cross multiply
    513,877x = 1,106,491 × 1,106,491
  4. Step 4: Simplify right side
    513,877x = 1,224,322,333,081
  5. Step 5: Solve for x
    x = 1,224,322,333,081/513,877
  6. Step 6: Final answer
    x = 2,382,520.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.