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Finding the Third Proportional to 524,880 and 1,115,370

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Solution

The third proportional to 524,880 and 1,115,370 is: 2,370,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880 : 1,115,370 = 1,115,370 : x
  2. Step 2: Convert to fraction form
    524,880/1,115,370 = 1,115,370/x
  3. Step 3: Cross multiply
    524,880x = 1,115,370 × 1,115,370
  4. Step 4: Simplify right side
    524,880x = 1,244,050,236,900
  5. Step 5: Solve for x
    x = 1,244,050,236,900/524,880
  6. Step 6: Final answer
    x = 2,370,161.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.