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Finding the Third Proportional to 416,448 and 926,064

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Solution

The third proportional to 416,448 and 926,064 is: 2,059,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,448 : 926,064 = 926,064 : x
  2. Step 2: Convert to fraction form
    416,448/926,064 = 926,064/x
  3. Step 3: Cross multiply
    416,448x = 926,064 × 926,064
  4. Step 4: Simplify right side
    416,448x = 857,594,532,096
  5. Step 5: Solve for x
    x = 857,594,532,096/416,448
  6. Step 6: Final answer
    x = 2,059,307.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.