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Finding the Third Proportional to 407,424 and 896,064

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Solution

The third proportional to 407,424 and 896,064 is: 1,970,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,424 : 896,064 = 896,064 : x
  2. Step 2: Convert to fraction form
    407,424/896,064 = 896,064/x
  3. Step 3: Cross multiply
    407,424x = 896,064 × 896,064
  4. Step 4: Simplify right side
    407,424x = 802,930,692,096
  5. Step 5: Solve for x
    x = 802,930,692,096/407,424
  6. Step 6: Final answer
    x = 1,970,749.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.