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Finding the Third Proportional to 622,076 and 880,077

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Solution

The third proportional to 622,076 and 880,077 is: 1,245,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,076 : 880,077 = 880,077 : x
  2. Step 2: Convert to fraction form
    622,076/880,077 = 880,077/x
  3. Step 3: Cross multiply
    622,076x = 880,077 × 880,077
  4. Step 4: Simplify right side
    622,076x = 774,535,525,929
  5. Step 5: Solve for x
    x = 774,535,525,929/622,076
  6. Step 6: Final answer
    x = 1,245,081.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.