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Finding the Third Proportional to 408,064 and 883,916

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Solution

The third proportional to 408,064 and 883,916 is: 1,914,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064 : 883,916 = 883,916 : x
  2. Step 2: Convert to fraction form
    408,064/883,916 = 883,916/x
  3. Step 3: Cross multiply
    408,064x = 883,916 × 883,916
  4. Step 4: Simplify right side
    408,064x = 781,307,495,056
  5. Step 5: Solve for x
    x = 781,307,495,056/408,064
  6. Step 6: Final answer
    x = 1,914,669.01

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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.