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Finding the Third Proportional to 605,692 and 882,246

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Solution

The third proportional to 605,692 and 882,246 is: 1,285,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,692 : 882,246 = 882,246 : x
  2. Step 2: Convert to fraction form
    605,692/882,246 = 882,246/x
  3. Step 3: Cross multiply
    605,692x = 882,246 × 882,246
  4. Step 4: Simplify right side
    605,692x = 778,358,004,516
  5. Step 5: Solve for x
    x = 778,358,004,516/605,692
  6. Step 6: Final answer
    x = 1,285,072.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.