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Finding the Third Proportional to 465,942 and 1,008,051

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Solution

The third proportional to 465,942 and 1,008,051 is: 2,180,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,942 : 1,008,051 = 1,008,051 : x
  2. Step 2: Convert to fraction form
    465,942/1,008,051 = 1,008,051/x
  3. Step 3: Cross multiply
    465,942x = 1,008,051 × 1,008,051
  4. Step 4: Simplify right side
    465,942x = 1,016,166,818,601
  5. Step 5: Solve for x
    x = 1,016,166,818,601/465,942
  6. Step 6: Final answer
    x = 2,180,886.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.