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Finding the Third Proportional to 612,156 and 1,329,150

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Solution

The third proportional to 612,156 and 1,329,150 is: 2,885,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,156 : 1,329,150 = 1,329,150 : x
  2. Step 2: Convert to fraction form
    612,156/1,329,150 = 1,329,150/x
  3. Step 3: Cross multiply
    612,156x = 1,329,150 × 1,329,150
  4. Step 4: Simplify right side
    612,156x = 1,766,639,722,500
  5. Step 5: Solve for x
    x = 1,766,639,722,500/612,156
  6. Step 6: Final answer
    x = 2,885,930.58

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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.