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Finding the Third Proportional to 612,764 and 1,296,184

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Solution

The third proportional to 612,764 and 1,296,184 is: 2,741,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,764 : 1,296,184 = 1,296,184 : x
  2. Step 2: Convert to fraction form
    612,764/1,296,184 = 1,296,184/x
  3. Step 3: Cross multiply
    612,764x = 1,296,184 × 1,296,184
  4. Step 4: Simplify right side
    612,764x = 1,680,092,961,856
  5. Step 5: Solve for x
    x = 1,680,092,961,856/612,764
  6. Step 6: Final answer
    x = 2,741,827.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.