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Finding the Third Proportional to 514,659 and 1,134,024

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Solution

The third proportional to 514,659 and 1,134,024 is: 2,498,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,659 : 1,134,024 = 1,134,024 : x
  2. Step 2: Convert to fraction form
    514,659/1,134,024 = 1,134,024/x
  3. Step 3: Cross multiply
    514,659x = 1,134,024 × 1,134,024
  4. Step 4: Simplify right side
    514,659x = 1,286,010,432,576
  5. Step 5: Solve for x
    x = 1,286,010,432,576/514,659
  6. Step 6: Final answer
    x = 2,498,762.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.