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Finding the Third Proportional to 509,334.75 and 1,107,121.50

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Solution

The third proportional to 509,334.75 and 1,107,121.50 is: 2,406,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,334.75 : 1,107,121.50 = 1,107,121.50 : x
  2. Step 2: Convert to fraction form
    509,334.75/1,107,121.50 = 1,107,121.50/x
  3. Step 3: Cross multiply
    509,334.75x = 1,107,121.50 × 1,107,121.50
  4. Step 4: Simplify right side
    509,334.75x = 1,225,718,015,762.25
  5. Step 5: Solve for x
    x = 1,225,718,015,762.25/509,334.75
  6. Step 6: Final answer
    x = 2,406,507.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.