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Finding the Third Proportional to 678,398 and 1,054,944

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Solution

The third proportional to 678,398 and 1,054,944 is: 1,640,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,398 : 1,054,944 = 1,054,944 : x
  2. Step 2: Convert to fraction form
    678,398/1,054,944 = 1,054,944/x
  3. Step 3: Cross multiply
    678,398x = 1,054,944 × 1,054,944
  4. Step 4: Simplify right side
    678,398x = 1,112,906,843,136
  5. Step 5: Solve for x
    x = 1,112,906,843,136/678,398
  6. Step 6: Final answer
    x = 1,640,492.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.