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Finding the Third Proportional to 732,647 and 1,562,069

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Solution

The third proportional to 732,647 and 1,562,069 is: 3,330,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,647 : 1,562,069 = 1,562,069 : x
  2. Step 2: Convert to fraction form
    732,647/1,562,069 = 1,562,069/x
  3. Step 3: Cross multiply
    732,647x = 1,562,069 × 1,562,069
  4. Step 4: Simplify right side
    732,647x = 2,440,059,560,761
  5. Step 5: Solve for x
    x = 2,440,059,560,761/732,647
  6. Step 6: Final answer
    x = 3,330,470.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.