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Finding the Third Proportional to 405,441 and 880,056

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Solution

The third proportional to 405,441 and 880,056 is: 1,910,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441 : 880,056 = 880,056 : x
  2. Step 2: Convert to fraction form
    405,441/880,056 = 880,056/x
  3. Step 3: Cross multiply
    405,441x = 880,056 × 880,056
  4. Step 4: Simplify right side
    405,441x = 774,498,563,136
  5. Step 5: Solve for x
    x = 774,498,563,136/405,441
  6. Step 6: Final answer
    x = 1,910,262.07

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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.