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Finding the Third Proportional to 678,872 and 1,025,230

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Solution

The third proportional to 678,872 and 1,025,230 is: 1,548,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,872 : 1,025,230 = 1,025,230 : x
  2. Step 2: Convert to fraction form
    678,872/1,025,230 = 1,025,230/x
  3. Step 3: Cross multiply
    678,872x = 1,025,230 × 1,025,230
  4. Step 4: Simplify right side
    678,872x = 1,051,096,552,900
  5. Step 5: Solve for x
    x = 1,051,096,552,900/678,872
  6. Step 6: Final answer
    x = 1,548,298.58

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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.