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Finding the Third Proportional to 681,618 and 1,009,266

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Solution

The third proportional to 681,618 and 1,009,266 is: 1,494,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,618 : 1,009,266 = 1,009,266 : x
  2. Step 2: Convert to fraction form
    681,618/1,009,266 = 1,009,266/x
  3. Step 3: Cross multiply
    681,618x = 1,009,266 × 1,009,266
  4. Step 4: Simplify right side
    681,618x = 1,018,617,858,756
  5. Step 5: Solve for x
    x = 1,018,617,858,756/681,618
  6. Step 6: Final answer
    x = 1,494,411.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.