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Finding the Third Proportional to 613,880 and 947,064

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Solution

The third proportional to 613,880 and 947,064 is: 1,461,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,880 : 947,064 = 947,064 : x
  2. Step 2: Convert to fraction form
    613,880/947,064 = 947,064/x
  3. Step 3: Cross multiply
    613,880x = 947,064 × 947,064
  4. Step 4: Simplify right side
    613,880x = 896,930,220,096
  5. Step 5: Solve for x
    x = 896,930,220,096/613,880
  6. Step 6: Final answer
    x = 1,461,083.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.