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Finding the Third Proportional to 514,718 and 1,129,068

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Solution

The third proportional to 514,718 and 1,129,068 is: 2,476,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,718 : 1,129,068 = 1,129,068 : x
  2. Step 2: Convert to fraction form
    514,718/1,129,068 = 1,129,068/x
  3. Step 3: Cross multiply
    514,718x = 1,129,068 × 1,129,068
  4. Step 4: Simplify right side
    514,718x = 1,274,794,548,624
  5. Step 5: Solve for x
    x = 1,274,794,548,624/514,718
  6. Step 6: Final answer
    x = 2,476,685.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.