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Finding the Third Proportional to 474,043 and 880,832

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Solution

The third proportional to 474,043 and 880,832 is: 1,636,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,043 : 880,832 = 880,832 : x
  2. Step 2: Convert to fraction form
    474,043/880,832 = 880,832/x
  3. Step 3: Cross multiply
    474,043x = 880,832 × 880,832
  4. Step 4: Simplify right side
    474,043x = 775,865,012,224
  5. Step 5: Solve for x
    x = 775,865,012,224/474,043
  6. Step 6: Final answer
    x = 1,636,697.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.