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Finding the Third Proportional to 401,632 and 856,640

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Solution

The third proportional to 401,632 and 856,640 is: 1,827,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,632 : 856,640 = 856,640 : x
  2. Step 2: Convert to fraction form
    401,632/856,640 = 856,640/x
  3. Step 3: Cross multiply
    401,632x = 856,640 × 856,640
  4. Step 4: Simplify right side
    401,632x = 733,832,089,600
  5. Step 5: Solve for x
    x = 733,832,089,600/401,632
  6. Step 6: Final answer
    x = 1,827,125.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.