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Finding the Third Proportional to 609,168 and 892,968

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Solution

The third proportional to 609,168 and 892,968 is: 1,308,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,168 : 892,968 = 892,968 : x
  2. Step 2: Convert to fraction form
    609,168/892,968 = 892,968/x
  3. Step 3: Cross multiply
    609,168x = 892,968 × 892,968
  4. Step 4: Simplify right side
    609,168x = 797,391,849,024
  5. Step 5: Solve for x
    x = 797,391,849,024/609,168
  6. Step 6: Final answer
    x = 1,308,985.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.