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Finding the Third Proportional to 678,258 and 1,474,492

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Solution

The third proportional to 678,258 and 1,474,492 is: 3,205,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,258 : 1,474,492 = 1,474,492 : x
  2. Step 2: Convert to fraction form
    678,258/1,474,492 = 1,474,492/x
  3. Step 3: Cross multiply
    678,258x = 1,474,492 × 1,474,492
  4. Step 4: Simplify right side
    678,258x = 2,174,126,658,064
  5. Step 5: Solve for x
    x = 2,174,126,658,064/678,258
  6. Step 6: Final answer
    x = 3,205,456.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.