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Finding the Third Proportional to 446,781 and 870,996

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Solution

The third proportional to 446,781 and 870,996 is: 1,697,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,781 : 870,996 = 870,996 : x
  2. Step 2: Convert to fraction form
    446,781/870,996 = 870,996/x
  3. Step 3: Cross multiply
    446,781x = 870,996 × 870,996
  4. Step 4: Simplify right side
    446,781x = 758,634,032,016
  5. Step 5: Solve for x
    x = 758,634,032,016/446,781
  6. Step 6: Final answer
    x = 1,697,999.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.