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Finding the Third Proportional to 456,396 and 1,017,731

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Solution

The third proportional to 456,396 and 1,017,731 is: 2,269,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,396 : 1,017,731 = 1,017,731 : x
  2. Step 2: Convert to fraction form
    456,396/1,017,731 = 1,017,731/x
  3. Step 3: Cross multiply
    456,396x = 1,017,731 × 1,017,731
  4. Step 4: Simplify right side
    456,396x = 1,035,776,388,361
  5. Step 5: Solve for x
    x = 1,035,776,388,361/456,396
  6. Step 6: Final answer
    x = 2,269,468.59

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.