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Finding the Third Proportional to 524,454 and 1,131,852

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Solution

The third proportional to 524,454 and 1,131,852 is: 2,442,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,454 : 1,131,852 = 1,131,852 : x
  2. Step 2: Convert to fraction form
    524,454/1,131,852 = 1,131,852/x
  3. Step 3: Cross multiply
    524,454x = 1,131,852 × 1,131,852
  4. Step 4: Simplify right side
    524,454x = 1,281,088,949,904
  5. Step 5: Solve for x
    x = 1,281,088,949,904/524,454
  6. Step 6: Final answer
    x = 2,442,709.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.