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Finding the Third Proportional to 514,670 and 1,134,052

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Solution

The third proportional to 514,670 and 1,134,052 is: 2,498,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,670 : 1,134,052 = 1,134,052 : x
  2. Step 2: Convert to fraction form
    514,670/1,134,052 = 1,134,052/x
  3. Step 3: Cross multiply
    514,670x = 1,134,052 × 1,134,052
  4. Step 4: Simplify right side
    514,670x = 1,286,073,938,704
  5. Step 5: Solve for x
    x = 1,286,073,938,704/514,670
  6. Step 6: Final answer
    x = 2,498,832.14

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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.