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Finding the Third Proportional to 610,676 and 897,766

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Solution

The third proportional to 610,676 and 897,766 is: 1,319,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,676 : 897,766 = 897,766 : x
  2. Step 2: Convert to fraction form
    610,676/897,766 = 897,766/x
  3. Step 3: Cross multiply
    610,676x = 897,766 × 897,766
  4. Step 4: Simplify right side
    610,676x = 805,983,790,756
  5. Step 5: Solve for x
    x = 805,983,790,756/610,676
  6. Step 6: Final answer
    x = 1,319,822.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.