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Finding the Third Proportional to 1,205,202 and 1,652,598

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Solution

The third proportional to 1,205,202 and 1,652,598 is: 2,266,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,202 : 1,652,598 = 1,652,598 : x
  2. Step 2: Convert to fraction form
    1,205,202/1,652,598 = 1,652,598/x
  3. Step 3: Cross multiply
    1,205,202x = 1,652,598 × 1,652,598
  4. Step 4: Simplify right side
    1,205,202x = 2,731,080,149,604
  5. Step 5: Solve for x
    x = 2,731,080,149,604/1,205,202
  6. Step 6: Final answer
    x = 2,266,076.68

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