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Finding the Third Proportional to 506,611.13 and 1,103,172.75

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Solution

The third proportional to 506,611.13 and 1,103,172.75 is: 2,402,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,611.13 : 1,103,172.75 = 1,103,172.75 : x
  2. Step 2: Convert to fraction form
    506,611.13/1,103,172.75 = 1,103,172.75/x
  3. Step 3: Cross multiply
    506,611.13x = 1,103,172.75 × 1,103,172.75
  4. Step 4: Simplify right side
    506,611.13x = 1,216,990,116,342.56
  5. Step 5: Solve for x
    x = 1,216,990,116,342.56/506,611.13
  6. Step 6: Final answer
    x = 2,402,217.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.