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Finding the Third Proportional to 514,536 and 1,202,505

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Solution

The third proportional to 514,536 and 1,202,505 is: 2,810,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,536 : 1,202,505 = 1,202,505 : x
  2. Step 2: Convert to fraction form
    514,536/1,202,505 = 1,202,505/x
  3. Step 3: Cross multiply
    514,536x = 1,202,505 × 1,202,505
  4. Step 4: Simplify right side
    514,536x = 1,446,018,275,025
  5. Step 5: Solve for x
    x = 1,446,018,275,025/514,536
  6. Step 6: Final answer
    x = 2,810,334.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.