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Finding the Third Proportional to 610,682 and 934,167

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Solution

The third proportional to 610,682 and 934,167 is: 1,429,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,682 : 934,167 = 934,167 : x
  2. Step 2: Convert to fraction form
    610,682/934,167 = 934,167/x
  3. Step 3: Cross multiply
    610,682x = 934,167 × 934,167
  4. Step 4: Simplify right side
    610,682x = 872,667,983,889
  5. Step 5: Solve for x
    x = 872,667,983,889/610,682
  6. Step 6: Final answer
    x = 1,429,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.