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Finding the Third Proportional to 745,884 and 1,609,704

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Solution

The third proportional to 745,884 and 1,609,704 is: 3,473,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,884 : 1,609,704 = 1,609,704 : x
  2. Step 2: Convert to fraction form
    745,884/1,609,704 = 1,609,704/x
  3. Step 3: Cross multiply
    745,884x = 1,609,704 × 1,609,704
  4. Step 4: Simplify right side
    745,884x = 2,591,146,967,616
  5. Step 5: Solve for x
    x = 2,591,146,967,616/745,884
  6. Step 6: Final answer
    x = 3,473,927.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.