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Finding the Third Proportional to 1,102,200 and 1,686,024

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Solution

The third proportional to 1,102,200 and 1,686,024 is: 2,579,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,200 : 1,686,024 = 1,686,024 : x
  2. Step 2: Convert to fraction form
    1,102,200/1,686,024 = 1,686,024/x
  3. Step 3: Cross multiply
    1,102,200x = 1,686,024 × 1,686,024
  4. Step 4: Simplify right side
    1,102,200x = 2,842,676,928,576
  5. Step 5: Solve for x
    x = 2,842,676,928,576/1,102,200
  6. Step 6: Final answer
    x = 2,579,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.