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Finding the Third Proportional to 514,656 and 1,134,020

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Solution

The third proportional to 514,656 and 1,134,020 is: 2,498,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,656 : 1,134,020 = 1,134,020 : x
  2. Step 2: Convert to fraction form
    514,656/1,134,020 = 1,134,020/x
  3. Step 3: Cross multiply
    514,656x = 1,134,020 × 1,134,020
  4. Step 4: Simplify right side
    514,656x = 1,286,001,360,400
  5. Step 5: Solve for x
    x = 1,286,001,360,400/514,656
  6. Step 6: Final answer
    x = 2,498,759.09

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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.