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Finding the Third Proportional to 416,652 and 896,592

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Solution

The third proportional to 416,652 and 896,592 is: 1,929,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,652 : 896,592 = 896,592 : x
  2. Step 2: Convert to fraction form
    416,652/896,592 = 896,592/x
  3. Step 3: Cross multiply
    416,652x = 896,592 × 896,592
  4. Step 4: Simplify right side
    416,652x = 803,877,214,464
  5. Step 5: Solve for x
    x = 803,877,214,464/416,652
  6. Step 6: Final answer
    x = 1,929,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.