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Finding the Third Proportional to 1,102,506.75 and 1,660,173.75

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Solution

The third proportional to 1,102,506.75 and 1,660,173.75 is: 2,499,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,506.75 : 1,660,173.75 = 1,660,173.75 : x
  2. Step 2: Convert to fraction form
    1,102,506.75/1,660,173.75 = 1,660,173.75/x
  3. Step 3: Cross multiply
    1,102,506.75x = 1,660,173.75 × 1,660,173.75
  4. Step 4: Simplify right side
    1,102,506.75x = 2,756,176,880,189.06
  5. Step 5: Solve for x
    x = 2,756,176,880,189.06/1,102,506.75
  6. Step 6: Final answer
    x = 2,499,918.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.