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Finding the Third Proportional to 724,676 and 1,705,154

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Solution

The third proportional to 724,676 and 1,705,154 is: 4,012,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,676 : 1,705,154 = 1,705,154 : x
  2. Step 2: Convert to fraction form
    724,676/1,705,154 = 1,705,154/x
  3. Step 3: Cross multiply
    724,676x = 1,705,154 × 1,705,154
  4. Step 4: Simplify right side
    724,676x = 2,907,550,163,716
  5. Step 5: Solve for x
    x = 2,907,550,163,716/724,676
  6. Step 6: Final answer
    x = 4,012,207.06

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.