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Finding the Third Proportional to 405,901 and 880,972

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Solution

The third proportional to 405,901 and 880,972 is: 1,912,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,901 : 880,972 = 880,972 : x
  2. Step 2: Convert to fraction form
    405,901/880,972 = 880,972/x
  3. Step 3: Cross multiply
    405,901x = 880,972 × 880,972
  4. Step 4: Simplify right side
    405,901x = 776,111,664,784
  5. Step 5: Solve for x
    x = 776,111,664,784/405,901
  6. Step 6: Final answer
    x = 1,912,071.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.