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Finding the Third Proportional to 883,523 and 1,332,648

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Solution

The third proportional to 883,523 and 1,332,648 is: 2,010,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,523 : 1,332,648 = 1,332,648 : x
  2. Step 2: Convert to fraction form
    883,523/1,332,648 = 1,332,648/x
  3. Step 3: Cross multiply
    883,523x = 1,332,648 × 1,332,648
  4. Step 4: Simplify right side
    883,523x = 1,775,950,691,904
  5. Step 5: Solve for x
    x = 1,775,950,691,904/883,523
  6. Step 6: Final answer
    x = 2,010,078.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.