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Finding the Third Proportional to 678,969 and 1,025,370

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Solution

The third proportional to 678,969 and 1,025,370 is: 1,548,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,969 : 1,025,370 = 1,025,370 : x
  2. Step 2: Convert to fraction form
    678,969/1,025,370 = 1,025,370/x
  3. Step 3: Cross multiply
    678,969x = 1,025,370 × 1,025,370
  4. Step 4: Simplify right side
    678,969x = 1,051,383,636,900
  5. Step 5: Solve for x
    x = 1,051,383,636,900/678,969
  6. Step 6: Final answer
    x = 1,548,500.21

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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.