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Finding the Third Proportional to 559,615 and 1,199,078

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Solution

The third proportional to 559,615 and 1,199,078 is: 2,569,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,615 : 1,199,078 = 1,199,078 : x
  2. Step 2: Convert to fraction form
    559,615/1,199,078 = 1,199,078/x
  3. Step 3: Cross multiply
    559,615x = 1,199,078 × 1,199,078
  4. Step 4: Simplify right side
    559,615x = 1,437,788,050,084
  5. Step 5: Solve for x
    x = 1,437,788,050,084/559,615
  6. Step 6: Final answer
    x = 2,569,245.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.