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Finding the Third Proportional to 678,870 and 1,025,227

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Solution

The third proportional to 678,870 and 1,025,227 is: 1,548,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,870 : 1,025,227 = 1,025,227 : x
  2. Step 2: Convert to fraction form
    678,870/1,025,227 = 1,025,227/x
  3. Step 3: Cross multiply
    678,870x = 1,025,227 × 1,025,227
  4. Step 4: Simplify right side
    678,870x = 1,051,090,401,529
  5. Step 5: Solve for x
    x = 1,051,090,401,529/678,870
  6. Step 6: Final answer
    x = 1,548,294.08

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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.