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Finding the Third Proportional to 678,144 and 1,025,946

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Solution

The third proportional to 678,144 and 1,025,946 is: 1,552,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,144 : 1,025,946 = 1,025,946 : x
  2. Step 2: Convert to fraction form
    678,144/1,025,946 = 1,025,946/x
  3. Step 3: Cross multiply
    678,144x = 1,025,946 × 1,025,946
  4. Step 4: Simplify right side
    678,144x = 1,052,565,194,916
  5. Step 5: Solve for x
    x = 1,052,565,194,916/678,144
  6. Step 6: Final answer
    x = 1,552,126.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.