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Finding the Third Proportional to 612,734 and 1,330,078

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Solution

The third proportional to 612,734 and 1,330,078 is: 2,887,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,734 : 1,330,078 = 1,330,078 : x
  2. Step 2: Convert to fraction form
    612,734/1,330,078 = 1,330,078/x
  3. Step 3: Cross multiply
    612,734x = 1,330,078 × 1,330,078
  4. Step 4: Simplify right side
    612,734x = 1,769,107,486,084
  5. Step 5: Solve for x
    x = 1,769,107,486,084/612,734
  6. Step 6: Final answer
    x = 2,887,235.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.