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Finding the Third Proportional to 514,080 and 1,138,272

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Solution

The third proportional to 514,080 and 1,138,272 is: 2,520,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,080 : 1,138,272 = 1,138,272 : x
  2. Step 2: Convert to fraction form
    514,080/1,138,272 = 1,138,272/x
  3. Step 3: Cross multiply
    514,080x = 1,138,272 × 1,138,272
  4. Step 4: Simplify right side
    514,080x = 1,295,663,145,984
  5. Step 5: Solve for x
    x = 1,295,663,145,984/514,080
  6. Step 6: Final answer
    x = 2,520,353.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.