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Finding the Third Proportional to 404,462 and 880,060

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Solution

The third proportional to 404,462 and 880,060 is: 1,914,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,462 : 880,060 = 880,060 : x
  2. Step 2: Convert to fraction form
    404,462/880,060 = 880,060/x
  3. Step 3: Cross multiply
    404,462x = 880,060 × 880,060
  4. Step 4: Simplify right side
    404,462x = 774,505,603,600
  5. Step 5: Solve for x
    x = 774,505,603,600/404,462
  6. Step 6: Final answer
    x = 1,914,903.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.