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Finding the Third Proportional to 1,205,200 and 1,652,595

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Solution

The third proportional to 1,205,200 and 1,652,595 is: 2,266,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,200 : 1,652,595 = 1,652,595 : x
  2. Step 2: Convert to fraction form
    1,205,200/1,652,595 = 1,652,595/x
  3. Step 3: Cross multiply
    1,205,200x = 1,652,595 × 1,652,595
  4. Step 4: Simplify right side
    1,205,200x = 2,731,070,234,025
  5. Step 5: Solve for x
    x = 2,731,070,234,025/1,205,200
  6. Step 6: Final answer
    x = 2,266,072.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.